Invariant Theory: An Annotated Bibliography

Nearly all of the references here come from Larry Smiths bibliography. That was constructed for his book on Polynomial Invariants of Finite Groups and he posted it to Clarence Wilkersons web site. I am a great admirer of Steenrods 1967 Topology print version wherein he collected all the Math Reviews up until then under various headings. This document is a web-based on-line version. Two students, Alex Duncan and Fok-Jee Leung wrote up much of this using Perl scripts under the supervision of David Wehlau and myself.
J. Frank Adams.  Lectures on Lie groups.
W. A. Benjamin, Inc., New York-Amsterdam, 1969. 40:5780

J. F. Adams and C. W. Wilkerson.  Finite H-spaces and algebras over the Steenrod algebra.
Ann. of Math. (2), 111(1):95--143, 1980. 81h:55006

J. F. Adams and C. W. Wilkerson.  A correction: ``Finite H-spaces and algebras over the Steenrod algebra'' [Ann. Of Math. (2) 111 (1980), no. 1, 95--143; MR 81h:55006].
Ann. of Math. (2), 113(3):621--622, 1981. 82i:55010

Alejandro Adem, John Maginnis, and R. James Milgram.  Symmetric invariants and cohomology of groups.
Math. Ann., 287(3):391--411, 1990. 91i:55022

Alejandro Adem and R. James Milgram.  Cohomology of finite groups, volume 309 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].
Springer-Verlag, Berlin, 1994. 96f:20082

Jaume Aguadé and Larry Smith.  Modular cohomology algebras.
Amer. J. Math., 107(3):507--530, 1985. 87a:55004

Edward E. Allen.  A conjecture of Procesi and a new basis for the decomposition of the graded left regular representation of Sn.
Adv. Math., 100(2):262--292, 1993. 94j:20008

Gert Almkvist.  Invariants, mostly old ones.
Pacific J. Math., 86(1):1--13, 1980. 81j:14029

Gert Almkvist.  Some formulas in invariant theory.
J. Algebra, 77(2):338--359, 1982. 84i:14030

Gert Almkvist.  Invariants of Z/pZ in characteristic p.
Invariant theory (Montecatini, 1982). 1983. 86a:14005

Gert Almkvist and Robert Fossum.  Decomposition of exterior and symmetric powers of indecomposable Z/pZ-modules in characteristic p and relations to invariants.
Séminaire d'Algèbre Paul Dubreil, 30ème année (Paris, 1976--1977). 1978. 81b:14024

E. Artin.  Geometric algebra.
Interscience Publishers, Inc., New York-London, 1957. 18,553e

Emil Artin and John T. Tate.  A note on finite ring extensions.
J. Math. Soc. Japan, 3:74--77, 1951. 13,427c

M. F. Atiyah and I. G. Macdonald.  Introduction to commutative algebra.
Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. 39:4129

Maurice Auslander.  On the purity of the branch locus.
Amer. J. Math., 84:116--125, 1962. 25:1182

Maurice Auslander and D. A. Buchsbaum.  Unique factorization in regular local rings.
Proc. Nat. Acad. Sci. U.S.A., 45:733--734, 1959. 21:2669

M. Auslander and D. A. Buchsbaum.  On ramification theory in noetherian rings.
Amer. J. Math., 81:749--765, 1959. 21:5659

Maurice Auslander and Idun Reiten.  Grothendieck groups of algebras and orders.
J. Pure Appl. Algebra, 39(1-2):1--51, 1986. 87g:16038

Luchezar L. Avramov.  Pseudoreflection group actions on local rings.
Nagoya Math. J., 88:161--180, 1982. 84k:13020

H. F. Baker.  Note introductory to the study of klein's group of order 168.
Math. Proc. Camb. Phil. Soc., 31:468--481, 1935.

Stanislaw Balcerzyk and Tadeusz Józefiak.  Commutative Noetherian and Krull rings.
Ellis Horwood Series: Mathematics and its Applications. Ellis Horwood Ltd., Chichester, 1989. 92f:13001

Stanislaw Balcerzyk and Tadeusz Józefiak.  Commutative rings.
Ellis Horwood Series: Mathematics and its Applications. Ellis Horwood Ltd., Chichester, 1989. 92b:13001

Paul Baum and Larry Smith.  The real cohomology of differentiable fibre bundles.
Comment. Math. Helv., 42:171--179, 1967. 36:4574

J. C. Becker and D. H. Gottlieb.  Transfer maps for fibrations and duality.
Compositio Math., 33(2):107--133, 1976. 55:9087

R. B. Bell, H. E. A. Campbell, and I. Hughes.  Properties of functions associated with invariant theory.
Comm. Algebra, 22(2):381--396, 1994. 95d:13008

D. J. Benson.  Polynomial invariants of finite groups, volume 190 of London Mathematical Society Lecture Note Series.
Cambridge University Press, Cambridge, 1993. 94j:13003

E. R. Berlekamp.  An analog to the discriminant over fields of characteristic two.
J. Algebra, 38(2):315--317, 1976. 53:8000

M. Bernard.  Schur indices and splitting fields of unitary reflection groups.
J. of Algebra, 38:318--342, 1976.

Marie-José Bertin.  Anneau des invariants du groupe alterné, en caractéristique 2.
Bull. Sci. Math. (2), 94:65--72, 1970. 42:1819

M.-J. Bertin.  Anneaux d'invariants d'anneaux de polynômes en caractéristique p.
C. R. Acad. Sci. Paris t., 277 (Série A):691--694, 1973.

W. Beyon and G. Lusztig.  Some numerical results on characters of exceptional lie groups.
Math. Proc. Camb. Phil. Soc., 84:417--426, 1978.

Armand Borel.  Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts.
Ann. of Math. (2), 57:115--207, 1953. 14,490e

Armand Borel.  Sur l'homologie et la cohomologie des groupes de Lie compacts connexes.
Amer. J. Math., 76:273--342, 1954. 16,219b

Armand Borel.  Topology of Lie groups and characteristic classes.
Bull. Amer. Math. Soc., 61:397--432, 1955. 17,282b

N. Bourbaki.  Groupes et algèbres de Lie, Ch. 4, 5 et 6.
Masson, Paris, 1981.

D. Bourguiba and S. Zarati.  Depth and steenrod operations.
Inventiones Math. (to appear).

Carles Broto i Blanco.  Algebras of invariants and polynomial algebras over the Steenrod algebra.
Butl. Soc. Catalana Ciènc. Fí s. Quí m. Mat. (2), 7(1):115--145, 1986. 87i:55042

Carlos Broto, Larry Smith, and Robert Stong.  Thom modules and pseudoreflection groups.
J. Pure Appl. Algebra, 60(1):1--20, 1989. 91c:55021

Kenneth S. Brown.  Cohomology of groups, volume 87 of Graduate Texts in Mathematics.
Springer-Verlag, New York, 1994. 96a:20072

S. R. Bullett and I. G. Macdonald.  On the Adem relations.
Topology, 21(3):329--332, 1982. 83h:55035

H. E. A. Campbell and I. P. Hughes.  2-dimensional invariants of GL2(Fp) and some of its subgroups over the field Fp.
Preprint, Queens University, 1993.

H. E. A. Campbell and I. P. Hughes.  The ring of upper triangular invariants as a module over the Dickson invariants.
Math. Ann., 306(3):429--443, 1996. 97h:13003

H.E.A. Campbell and I.P. Hughes.  Rings of invariants of certain p-groups over the field Fp.
Preprint, Queens University, 1998.

H. E. A. Campbell, I. Hughes, and R. D. Pollack.  Vector invariants of symmetric groups.
Canad. Math. Bull., 33(4):391--397, 1990. 92g:13004

H. E. A. Campbell, I. Hughes, and R. D. Pollack.  Rings of invariants and p-Sylow subgroups.
Canad. Math. Bull., 34(1):42--47, 1991. 92h:13008

H. E. A. Campbell and R. D. Pollack.  Vector invariants of U2(p).
Adv. in Math., (to appear).

D. Carlisle and P. Kropholler.  Modular invariants of finite symplectic groups.
Preprint, Manchester, 1992.

D. Carlisle and P. H. Kropholler.  Rational invariants of certain orthogonal and unitary groups.
Bull. London Math. Soc., 24(1):57--60, 1992. 92m:12011

D. Carlisle and P. Kropholler.  Invariants of some finite classical groups over GF(2).
Preprint, Manchester, 1993.

Henri Cartan.  Quotient d'un espace analytique par un groupe d'automorphismes.
Algebraic geometry and topology. 1957. 18,823b

Henri Cartan and Samuel Eilenberg.  Homological algebra.
Princeton University Press, Princeton, N. J., 1956. 17,1040e

Claude Chevalley.  Invariants of finite groups generated by reflections.
Amer. J. Math., 77:778--782, 1955. 17,345d

Allan Clark and John Ewing.  The realization of polynomial algebras as cohomology rings.
Pacific J. Math., 50:425--434, 1974. 51:4221

Arjeh M. Cohen.  Finite complex reflection groups.
Ann. Sci. École Norm. Sup. (4), 9(3):379--436, 1976. 54:10437

P. M. Cohen.  Algebra, Volumes I, II, III.
John Wiley & Sons, Chichester, New York, 1989.

A. J. Coleman.  The Betti numbers of the simple Lie groups.
Canad. J. Math., 10:349--356, 1958. 21:4990

G. Barbançon and M. Raïs.  Sur le théorème de Hilbert différentiable pour les groupes linéaires finis (d'après E. Noether).
Ann. Sci. École Norm. Sup. (4), 16(3):355--373 (1984), 1983. 86b:58010

J. H. Conway and N. J. A. Sloane.  Sphere packings, lattices and groups, volume 290 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].
Springer-Verlag, New York, 1988. 89a:11067

David Cox, John Little, and Donal O'Shea.  Ideals, varieties, and algorithms.
Undergraduate Texts in Mathematics. Springer-Verlag, New York, 1992. 93j:13031

H. S. M. Coxeter.  Discrete groups generated by reflections.
Annals of Math., 35:588--621, 1934.

H. S. M. Coxeter and W. O. J. Moser.  Generators and relations for discrete groups.
Springer-Verlag, Berlin, 1957. 19,527d

Charles W. Curtis and Irving Reiner.  Representation theory of finite groups and associative algebras.
Pure and Applied Mathematics, Vol. XI. Interscience Publishers, a division of John Wiley & Sons, New York-London, 1962. 26:2519

Michel Demazure.  Invariants symétriques entiers des groupes de Weyl et torsion.
Invent. Math., 21:287--301, 1973. 49:7268

Warren Dicks and Edward Formanek.  Poincaré series and a problem of S. Montgomery.
Linear and Multilinear Algebra, 12(1):21--30, 1982/83. 84c:15032

L. E. Dickson.  On finite algebras.
Nachr. v. d. Ges. d. Wiss. zu Göttingen, :358--393, 1905.

Leonard Eugene Dickson.  A fundamental system of invariants of the general modular linear group with a solution of the form problem.
Trans. Amer. Math. Soc., 12(1):75--98, 1911. 1 500 882

L. E. Dickson.  Binary modular groups and their invariants.
Amer. Math. J., 33:175--192, 1911.

Leonard Eugene Dickson.  Linear groups: With an exposition of the Galois field theory.
with an introduction by W. Magnus. Dover Publications Inc., New York, 1958. 21:3488

  The collected mathematical papers of Leonard Eugene Dickson, Vol. I-V.
Chelsea Publishing Co., New York, 1975. 56:68a-e

Jean A. Dieudonné and James B. Carrell.  Invariant theory, old and new.
Academic Press, New York, 1971. 43:4828

Andreas Dress.  On finite groups generated by pseudoreflections.
J. Algebra, 11:1--5, 1969. 39:4293

W. G. Dwyer, H. R. Miller, and C. W. Wilkerson.  Homotopical uniqueness of classifying spaces.
Topology, 31(1):29--45, 1992. 92m:55013

David Eisenbud.  Commutative algebra, volume 150 of Graduate Texts in Mathematics.
Springer-Verlag, New York, 1995. 97a:13001

Geir Ellingsrud and Tor Skjelbred.  Profondeur d'anneaux d'invariants en caractéristique p.
Compositio Math., 41(2):233--244, 1980. 82c:13015

D. Engelmann.  Rings of invariants.
Preprint, Humboldt University, Berlin, 1996.

Leonard Evens.  The cohomology of groups.
Oxford Mathematical Monographs. The Clarendon Press Oxford University Press, New York, 1991. 93i:20059

M. M. Feldstein.  Invariants of the linear group modulo pk.
Trans. Amer. Math. Soc., 25(2):223--238, 1923. 1 501 241

Mark Feshbach.  The image of H*(BG;Z) in H*(BT;Z) for G a compact Lie group with maximal torus T.
Topology, 20(1):93--95, 1981. 82g:55019

M. Feshbach.  The image of the trace in the ring of invariants.
Preprint, University of Minnesota, 1981.

Mark Feshbach.  p-subgroups of compact Lie groups and torsion of infinite height in H*(BG). II.
Michigan Math. J., 29(3):299--306, 1982. 83m:55026

Leopold Flatto.  Invariants of finite reflection groups.
Enseign. Math. (2), 24(3-4):237--292, 1978. 80j:14010

P. Fleischmann.  On the ring of vector invariants for the symmetric group.
Preprint, Institute for Experimental Mathematics, Essen, 1996.

P. Fleischmann and W. Lempken.  On generators of modular invariant rings of finite groups.
Bull. London Math. Soc., 29(5):585--591, 1997. 98g:13005

Robert M. Fossum and Phillip A. Griffith.  Complete local factorial rings which are not Cohen-Macaulay in characteristic p.
Ann. Sci. École Norm. Sup. (4), 8(2):189--199, 1975. 52:3142

A. M. Garsia and D. Stanton.  Group actions of Stanley-Reisner rings and invariants of permutation groups.
Adv. in Math., 51(2):107--201, 1984. 86f:20003

Wolfgang Gaschütz.  Fixkörper von p-Automorphismengruppen rein-transzendener Körpererweiterungen von p-Charakteristik.
Math. Z., 71:466--468, 1959. 22:12104

Anthony V. Geramita and Charles Small.  Introduction to homological methods in commutative rings.
Queen's University, Kingston, Ont., 1976. 54:5206

O. E. Glenn.  Modular invariant processes.
BAMS, 21:167 -- 173, 1914-15.

P. Goerss, L. Smith, and S. Zarati.  Sur les A-algèbres instables.
Algebraic topology, Barcelona, 1986. 1987. 89a:55031

N. L. Gordeev.  Finite linear groups whose algebra of invariants are complete intersections.
Math. USSR Izvestiya, 28:335--379, 1987.

N. L. Gordeev.  Coranks of elements of linear groups and the complexity of algebras of invariants.
Algebra i Analiz, 2(2):39--64, 1990. 91h:20063

Daniel Gorenstein.  Finite groups.
Harper & Row Publishers, New York, 1968. 38:229

L. C. Grove and C. T. Benson.  Finite reflection groups, volume 99 of Graduate Texts in Mathematics.
Springer-Verlag, New York, 1985. 85m:20001

Manfred Göbel.  Computing bases for rings of permutation-invariant polynomials.
J. Symbolic Comput., 19(4):285--291, 1995. 96f:13006

  Der kanonische Modul eines Cohen-Macaulay-Rings.
Springer-Verlag, Berlin, 1971. 54:304

Jürgen Herzog, Eduardo Marcos, and Rolf Waldi.  On the Grothendieck group of a quotient singularity defined by a finite abelian group.
J. Algebra, 149(1):122--138, 1992. 93j:19002

Jürgen Herzog and Herbert Sanders.  The Grothendieck group of invariant rings and of simple hypersurface singularities.
Singularities, representation of algebras, and vector bundles (Lambrecht, 1985). 1987. 89b:14004

D. Hilbert.  üBer die theorie der algebraischen formen.
Math. Ann., 36:473--534, 1890.

D. Hilbert.  üBer die vollen invariantensystem.
Math. Ann., 42:313--373, 1893.

David Hilbert.  Hilbert's invariant theory papers.
Lie Groups: History, Frontiers and Applications, VIII. Math Sci Press, Brookline, Mass., 1978. 80e:01035

David Hilbert.  Theory of algebraic invariants.
Cambridge University Press, Cambridge, 1993. 97j:01049

Howard Hiller.  Geometry of Coxeter groups, volume 54 of Research Notes in Mathematics.
Pitman (Advanced Publishing Program), Boston, Mass., 1982. 83h:14045

Howard Hiller and Larry Smith.  On the realization and classification of cyclic extensions of polynomial algebras over the Steenrod algebra.
Proc. Amer. Math. Soc., 100(4):731--738, 1987. 89c:55017

M. Hochster and John A. Eagon.  Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci.
Amer. J. Math., 93:1020--1058, 1971. 46:1787

R. Holzsager.  H-spaces of category ≤ 2.
Topology, 9:211--216, 1970. 41:6211

Roger Howe.  The classical groups and invariants of binary forms.
The mathematical heritage of Hermann Weyl (Durham, NC, 1987). 1988. 90e:22022

Shou-Jen Hu and Ming-chang Kang.  Efficient generation of rings of invariants.
J. of Algebra, 180:341--363, 1996.

W. C. Huffman and N. J. A. Sloane.  Most primitive groups have messy invariants.
Adv. in Math., 32(2):118--127, 1979. 80e:20056

James E. Humphreys.  Introduction to Lie algebras and representation theory.
Springer-Verlag, New York, 1972. 48:2197

Friedrich Ischebeck.  Eine Dualität zwischen den Funktoren Ext und Tor.
J. Algebra, 11:510--531, 1969. 38:5894

V. G. Kac.  Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups.
Invent. Math., 80(1):69--79, 1985. 86m:57041

Victor G. Kac and Dale H. Peterson.  Generalized invariants of groups generated by reflections.
Geometry today (Rome, 1984). 1985. 88k:14027

Richard Kane.  Poincaré duality and the ring of coinvariants.
Canad. Math. Bull., 37(1):82--88, 1994. 96e:51016

Ming Chang Kang.  Picard groups of some rings of invariants.
J. Algebra, 58(2):455--461, 1979. 82m:14004

Gregor Kemper.  Calculating invariant rings of finite groups over arbitrary fields.
J. Symbolic Comput., 21(3):351--366, 1996. 98f:13005

G. Kemper and G. Malle.  The finite irreducible linear groups with polynomial ring of invariants.
Transform. Groups, 2(1):57--89, 1997. 98a:13012

Michel Kervaire and Thierry Vust.  Fractions rationnelles invariantes par un groupe fini: Quelques exemples.
Algebraische Transformationsgruppen und Invariantentheorie. 1989. 1 044 591

N. Killius.  Some modular invariant theory of finite groups with particular emphasis on the cyclic group.
Diplomarbeit, Göttingen, 1996.

Felix Klein.  Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade.
Birkhäuser Verlag, Basel, 1993. 96g:01046

F. Klein.  Lectures on Math.: The Evanston Colloquium.
MacMillan and Co., New York, 1894.

Hanspeter Kraft.  Geometrische Methoden in der Invariantentheorie.
Aspects of Mathematics, D1. Friedr. Vieweg & Sohn, Braunschweig, 1984. 86j:14006

Nicholas J. Kuhn.  Generic representations of the finite general linear groups and the Steenrod algebra. I.
Amer. J. Math., 116(2):327--360, 1994. 95c:55022

K. Kuhnigk.  Das transferhomomorphismus für ringen von invarianten.
Diplomarbeit, Göttingen, 1997.

K Kuhnigk and L. Smith.  Feshbach's transfer theorem.
Preprint, University of Minnesota, 1998.

S. P. Lam.  Unstable algebras over the Steenrod algebra.
Algebraic topology, Aarhus 1982 (Aarhus, 1982). 1984. 86f:55003

Peter S. Landweber and Robert E. Stong.  The depth of rings of invariants over finite fields.
Number theory (New York, 1984--1985). 1987. 88k:13004

Saunders Mac Lane.  Homology.
Classics in Mathematics. Springer-Verlag, Berlin, 1995. 96d:18001

Jean Lannes.  Sur les espaces fonctionnels dont la source est le classifiant d'un p-groupe abélien élémentaire.
Inst. Hautes Études Sci. Publ. Math., (75):135--244, 1992. 93j:55019

Jean Leray.  Sur l'homologie des groupes de Lie, des espaces homogènes et des espaces fibrés principaux.
Colloque de topologie (espace fibrés), Bruxelles, 1950. 1951. 12,802f

I. G. Macdonald.  Symmetric functions and Hall polynomials.
Oxford Mathematical Monographs. The Clarendon Press Oxford University Press, New York, 1995. 96h:05207

F. J. MacWilliams, A. M. Odlyzko, N. J. A. Sloane, and H. N. Ward.  Self-dual codes over GF(4).
J. Combin. Theory Ser. A, 25(3):288--318, 1978. 80f:94016

Zafer Mahmud and Larry Smith.  Invariant theory and Steenrod operations---maps between rings of invariants.
Math. Proc. Cambridge Philos. Soc., 120(1):103--116, 1996. 96m:13008

C. L. Mallows and N. J. A. Sloane.  On the invariants of a linear group of order 336.
Proc. Cambridge Philos. Soc., 74:435--440, 1973. 48:3954

Hideyuki Matsumura.  Commutative ring theory, volume 8 of Cambridge Studies in Advanced Mathematics.
Cambridge University Press, Cambridge, 1986. 88h:13001

R. James Milgram and Stewart B. Priddy.  Invariant theory and H*(GLn(Fp); Fp).
J. Pure Appl. Algebra, 44(1-3):291--302, 1987. 88j:20038

John Milnor.  Construction of universal bundles. II.
Ann. of Math. (2), 63:430--436, 1956. 17,1120a

John Milnor.  The Steenrod algebra and its dual.
Ann. of Math. (2), 67:150--171, 1958. 20:6092

John W. Milnor and John C. Moore.  On the structure of Hopf algebras.
Ann. of Math. (2), 81:211--264, 1965. 30:4259

Stephen A. Mitchell.  Finite complexes with A(n)-free cohomology.
Topology, 24(2):227--246, 1985. 86k:55007

T. Molien.  üBer die invarianten der linearen substitutionsgruppen.
Sitzungsber. König. Preuss. Akad. Wiss., :1152--1156, 1897.

Hisasi Morikawa.  On the invariants of finite nilpotent groups.
Osaka Math. J., 10:53--56, 1958. 21:3495

H. Mui.  Modular invariant theory and cohomology algebras of symmetric groups.
J. of Fac. Sci. Univ. Tokyo Sect. 1A Math., 22:319--369, 1975.

Masayoshi Nagata.  On the 14-th problem of Hilbert.
Amer. J. Math., 81:766--772, 1959. 21:4151

Masayoshi Nagata.  Local rings.
Interscience Tracts in Pure and Applied Mathematics, No. 13. Interscience Publishers a division of John Wiley & Sons, New York-London, 1962. 27:5790

Haruhisa Nakajima.  Invariants of reflection groups in positive characteristics.
Proc. Japan Acad. Ser. A Math. Sci., 55(6):219--221, 1979. 80i:14019

Haruhisa Nakajima.  Invariants of finite groups generated by pseudoreflections in positive characteristic.
Tsukuba J. Math., 3(1):109--122, 1979. 82i:20058

Haruhisa Nakajima.  Invariants of finite abelian groups generated by transvections.
Tokyo J. Math., 3(2):201--214, 1980. 82e:14058

Haruhisa Nakajima.  On some invariant subrings of polynomial rings in positive characteristics.
Proceedings of the 13th Symposium on Ring Theory (Okayama Univ., Okayama, 1980). 1981. 82h:13012

Haruhisa Nakajima.  Modular representations of p-groups with regular rings of invariants.
Proc. Japan Acad. Ser. A Math. Sci., 56(10):469--473, 1980. 82a:20016

Haruhisa Nakajima.  Modular representations of abelian groups with regular rings of invariants.
Nagoya Math. J., 86:229--248, 1982. 83i:14038

Haruhisa Nakajima.  Relative invariants of finite groups.
J. Algebra, 79(1):218--234, 1982. 84c:13006

Haruhisa Nakajima.  Rings of invariants of finite groups which are hypersurfaces.
J. Algebra, 80(2):279--294, 1983. 85e:20036

Haruhisa Nakajima.  Regular rings of invariants of unipotent groups.
J. Algebra, 85(2):253--286, 1983. 85f:20038

Haruhisa Nakajima.  Rings of invariants of finite groups which are hypersurfaces. II.
Adv. in Math., 65(1):39--64, 1987. 89h:14035

Amnon Neeman.  The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crawley-Boevey, and Grothendieck's Riemann-Roch and duality theorems.
Comment. Math. Helv., 70(3):339--349, 1995. 96f:14060

Frank Neumann, Mara D. Neusel, and Larry Smith.  Rings of generalized and stable invariants of pseudoreflections and pseudoreflection groups.
J. Algebra, 182(1):85--122, 1996. 97h:13004

Frank Neumann, Mara D. Neusel, and Larry Smith.  Rings of generalized and stable invariants and classifying spaces of compact Lie groups.
Higher homotopy structures in topology and mathematical physics (Poughkeepsie, NY, 1996). 1999. 2000a:55038

Mara D. Neusel.  Integral extensions of unstable algebras over the Steenrod algebra.
Forum Math., 12(2):155--166, 2000. 2001a:13009

Mara D. Neusel.  Invariants of some abelian p-groups in characteristic p.
Proc. Amer. Math. Soc., 125(7):1921--1931, 1997. 97i:13004

Mara D. Neusel and Larry Smith.  Polynomial invariants of groups associated to configurations of hyperplanes over finite fields.
J. Pure Appl. Algebra, 122(1-2):87--105, 1997. 99c:13009

Mara D. Neusel and Larry Smith.  The Lasker-Noether theorem for P*-invariant ideals.
Forum Math., 10(1):1--18, 1998. 99c:13007

E. Noether.  Der endlichkeitssatz der invarianten endlicher gruppen.
Math. Ann., 77:89--92, 1916.

E. Noether.  Idealtheorie in ringenbereichen.
Math. Ann., 83:24--66, 1921.

E. Noether.  Der endlichkeitssatz der invarianten endlicher linearer gruppen der characteristik p.
Nachr. v. d. Ges. d. Wiss. zu Göttingen, :28--35, 1926.

D. G. Northcott.  An introduction to homological algebra.
Cambridge University Press, New York, 1960. 22:9523

Maxime Bocher.  Introduction to higher algebra.
Dover Publications Inc., New York, 1964. 30:3098

John E. Olson.  A combinatorial problem on finite Abelian groups. I.
J. Number Theory, 1:8--10, 1969. 38:5922

John E. Olson.  A combinatorial problem on finite Abelian groups. II.
J. Number Theory, 1:195--199, 1969. 39:1552

Oystein Ore.  On a special class of polynomials.
Trans. Amer. Math. Soc., 35(3):559--584, 1933. 1 501 703

Peter Orlik and Louis Solomon.  The Hessian map in the invariant theory of reflection groups.
Nagoya Math. J., 109:1--21, 1988. 89i:32024

Peter Orlik and Louis Solomon.  Discriminants in the invariant theory of reflection groups.
Nagoya Math. J., 109:23--45, 1988. 89i:32025

Peter Orlik and Hiroaki Terao.  Arrangements of hyperplanes, volume 300 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].
Springer-Verlag, Berlin, 1992. 94e:52014

Stefan Papadima.  Rigidity properties of compact Lie groups modulo maximal tori.
Math. Ann., 275(4):637--652, 1986. 88b:53063

Klaus Pommerening.  Invariants of unipotent groups. A survey.
Invariant theory. 1987. 89a:14065

Stewart Priddy and Clarence Wilkerson.  Hilbert's Theorem 90 and the Segal conjecture for elementary abelian p-groups.
Amer. J. Math., 107(4):775--785, 1985. 87a:55007

Victor Reiner.  On Göbel's bound for invariants of permutation groups.
Arch. Math. (Basel), 65(6):475--480, 1995. 96h:13013

V. Reiner and L. Smith.  Systems of parameters for rings of invariants.
Preprint, Göttingen, 1996.

Philippe Revoy.  Anneau des invariants du groupe alterné.
Bull. Sci. Math. (2), 106(4):427--431, 1982. 84m:13007

David R. Richman.  On vector invariants over finite fields.
Adv. Math., 81(1):30--65, 1990. 91g:15020

David R. Richman.  Invariants of finite groups over fields of characteristic p.
Adv. Math., 124(1):25--48, 1996. 97i:13005

David R. Richman.  Explicit generators of the invariants of finite groups.
Adv. Math., 124(1):49--76, 1996. 97k:13005

John Riordan.  An introduction to combinatorial analysis.
Wiley Publications in Mathematical Statistics. John Wiley & Sons Inc., New York, 1958. 20:3077

Joseph J. Rotman.  An introduction to homological algebra, volume 85 of Pure and Applied Mathematics.
Academic Press Inc. [Harcourt Brace Jovanovich Publishers], New York, 1979. 80k:18001

D. Rusin.  The depth of rings of invariants and cohomology rings.
Preprint, University of Oklahoma, 1986.

David J. Saltman.  Noether's problem over an algebraically closed field.
Invent. Math., 77(1):71--84, 1984. 85m:13006

P. Samuel.  Lectures on unique factorization domains.
Notes by M. Pavman Murthy. Tata Institute of Fundamental Research Lectures on Mathematics, No. 30. Tata Institute of Fundamental Research, Bombay, 1964. 35:5428

Barbara J. Schmid.  Generating invariants of finite groups.
C. R. Acad. Sci. Paris Sér. I Math., 308(1):1--6, 1989. 90d:20014

Barbara J. Schmid.  Finite groups and invariant theory.
Topics in invariant theory (Paris, 1989/1990). 1991. 94c:13002

Issai Schur.  Vorlesungen über Invariantentheorie.
Bearbeitet und herausgegeben von Helmut Grunsky. Die Grundlehren der mathematischen Wissenschaften, Band 143. Springer-Verlag, Berlin, 1968. 37:5248

L. Schwartz.  Lectures on Lannes Technology.
University of Chicago Press, Chicago, 1994.

Jean-Pierre Serre.  Sur la dimension cohomologique des groupes profinis.
Topology, 3:413--420, 1965. 31:4853

Jean-Pierre Serre.  Algèbre locale. Multiplicités, volume 11 of Cours au Collège de France, 1957--1958, rédigé par Pierre Gabriel. Seconde édition, 1965. Lecture Notes in Mathematics.
Springer-Verlag, Berlin, 1965. 34:1352

Jean-Pierre Serre.  Représentations linéaires des groupes finis.
Hermann, Paris, 1967. 38:1190

Jean-Pierre Serre.  Groupes finis d'automorphismes d'anneaux locaux réguliers.
Colloque d'Algèbre (Paris, 1967), Exp. 8. 1968. 38:3267

G. C. Shephard.  Unitary groups generated by reflections.
Canadian J. Math., 5:364--383, 1953. 14,1060h

G. C. Shephard.  Abstract definitions for reflection groups.
Canad. J. Math., 9:273--276, 1957. 19,248e

G. C. Shephard and J. A. Todd.  Finite unitary reflection groups.
Canadian J. Math., 6:274--304, 1954. 15,600b

Kenjiro Shoda.  üBer die Invarianten endlicher Gruppen linearer Substitutionen im Körper der Charakteristik p.
Jap. J. Math., 17:109--115, 1940. 3,34a

Balwant Singh.  Invariants of finite groups acting on local unique factorization domains.
J. Indian Math. Soc. (N.S.), 34:31--38 (1971), 1970. 44:6669

N. J. A. Sloane.  Error-correcting codes and invariant theory: New applications of a nineteenth-century technique.
Amer. Math. Monthly, 84(2):82--107, 1977. 54:12361

Larry Smith.  The homotopy classification of maps between certain spaces with polynomial cohomology.
Indian J. Math., 25(2):101--108, 1983. 86k:55008

Larry Smith.  On the invariant theory of finite pseudoreflection groups.
Arch. Math. (Basel), 44(3):225--228, 1985. 87b:20018

Larry Smith.  Finite loop space with maximal tori have finite Weyl groups.
Proc. Amer. Math. Soc., 119(1):299--302, 1993. 94e:55018

Larry Smith.  e-invariants and finite covers. II.
Trans. Amer. Math. Soc., 347(12):5009--5021, 1995. 98i:57052

Larry Smith.  Some rings of invariants that are Cohen-Macaulay.
Canad. Math. Bull., 39(2):238--240, 1996. 97a:13010

Larry Smith.  P*-invariant ideals in rings of invariants.
Forum Math., 8(3):319--342, 1996. 97c:13003

Larry Smith.  E. Noether's bound in the invariant theory of finite groups.
Arch. Math. (Basel), 66(2):89--92, 1996. 96k:13004

Larry Smith.  Polynomial invariants of finite groups. A survey of recent developments.
Bull. Amer. Math. Soc. (N.S.), 34(3):211--250, 1997. 98i:13009

Larry Smith.  Modular vector invariants of cyclic permutation representations.
Canad. Math. Bull., 42(1):125--128, 1999. 2000b:13008

Larry Smith.  Homological codimension of modular rings of invariants and the Koszul complex.
J. Math. Kyoto Univ., 38(4):727--747, 1998. 99m:13011

Larry Smith.  Linear algebra.
Undergraduate Texts in Mathematics. Springer-Verlag, New York, 1998. 1 631 915

Larry Smith.  Putting the squeeze on the Noether gap---the case of the alternating groups An.
Math. Ann., 315(3):503--510, 1999. 2000k:13004

Larry Smith.  On a theorem of Barbara Schmid.
Proc. Amer. Math. Soc., 128(8):2199--2201, 2000. 2000k:13003

Larry Smith.  Noether's bound in the invariant theory of finite groups and vector invariants of iterated wreath products of symmetric groups.
Q. J. Math., 51(1):93--105, 2000. 2002c:13014

Larry Smith and R. E. Stong.  On the invariant theory of finite groups: Orbit polynomials and splitting principles.
J. Algebra, 110(1):134--157, 1987. 88k:20077

Larry Smith and R. M. Switzer.  Realizability and nonrealizability of Dickson algebras as cohomology rings.
Proc. Amer. Math. Soc., 89(2):303--313, 1983. 85e:55036

Larry Smith and R. M. Switzer.  Polynomial algebras over the Steenrod algebra: Variations on a theorem of Adams and Wilkerson.
Proc. Edinburgh Math. Soc. (2), 27(1):11--19, 1984. 85m:55021

William Smoke.  Dimension and multiplicity for graded algebras.
J. Algebra, 21:149--173, 1972. 46:9024

Louis Solomon.  Invariants of finite reflection groups.
Nagoya Math. J., 22:57--64, 1963. 27:4872

Louis Solomon.  Invariants of Euclidean reflection groups.
Trans. Amer. Math. Soc., 113:274--286, 1964. 29:2329

Louis Solomon.  Partition identities and invariants of finite groups.
J. Combinatorial Theory Ser. A, 23(2):148--175, 1977. 56:8677

Thomas Sperlich.  Automorphisms of P(V)G.
Proc. Amer. Math. Soc., 120(1):5--11, 1994. 94f:20079

T. A. Springer.  Invariant theory.
Springer-Verlag, Berlin, 1977. 56:5740

T. A. Springer.  On the invariant theory of SU2.
Nederl. Akad. Wetensch. Indag. Math., 42(3):339--345, 1980. 83k:20041

Richard P. Stanley.  Relative invariants of finite groups generated by pseudoreflections.
J. Algebra, 49(1):134--148, 1977. 57:477

Richard P. Stanley.  Hilbert functions of graded algebras.
Advances in Math., 28(1):57--83, 1978. 58:5637

Richard P. Stanley.  Invariants of finite groups and their applications to combinatorics.
Bull. Amer. Math. Soc. (N.S.), 1(3):475--511, 1979. 81a:20015

Robert Steinberg.  Invariants of finite reflection groups.
Canad. J. Math., 12:616--618, 1960. 22:8066

Robert Steinberg.  Differential equations invariant under finite reflection groups.
Trans. Amer. Math. Soc., 112:392--400, 1964. 29:4807

Robert Steinberg.  On Dickson's theorem on invariants.
J. Fac. Sci. Univ. Tokyo Sect. IA Math., 34(3):699--707, 1987. 89c:11177

E. Stiefel.  Kristallographische Bestimmung der Charaktere der geschlossenen Lie'schen Gruppen.
Comment. Math. Helv., 17:165--200, 1945. 7,115a

Bernd Sturmfels.  Algorithms in invariant theory.
Texts and Monographs in Symbolic Computation. Springer-Verlag, Vienna, 1993. 94m:13004

Richard G. Swan.  Invariant rational functions and a problem of Steenrod.
Invent. Math., 7:148--158, 1969. 39:5532

John Tate.  Homology of Noetherian rings and local rings.
Illinois J. Math., 1:14--27, 1957. 19,119b

Hiroaki Terao.  The Jacobians and the discriminants of finite reflection groups.
Tohoku Math. J. (2), 41(2):237--247, 1989. 90m:32028

J. G. Thompson.  Invariants of finite groups.
J. Algebra, 69(1):143--145, 1981. 82d:20042

Hirosi Toda.  Cohomology mod 3 of the classifying space BF4 of the exceptional group F4.
J. Math. Kyoto Univ., 13:97--115, 1973. 47:9619

John Sidney Turner.  A fundamental system of invariants of a modular group of transformations.
Trans. Amer. Math. Soc., 24(2):129--134, 1922. 1 501 217

B. L. van der Waerden.  Modern Algebra.
Ungar, New York, 1949.

Nolan R. Wallach.  Invariant differential operators on a reductive Lie algebra and Weyl group representations.
J. Amer. Math. Soc., 6(4):779--816, 1993. 94a:17014

Keiichi Watanabe.  Certain invariant subrings are Gorenstein. I, II.
Osaka J. Math., 11:1--8; ibid. 11 (1974), 379--388, 1974. 50:7124

Keiichi Watanabe.  Invariant subrings which are complete intersections. I. Invariant subrings of finite abelian groups.
Nagoya Math. J., 77:89--98, 1980. 82d:13020

H. Weber.  Lehrbuch der Algebra.
Ellis Horwood Series: Mathematics and its Applications. 2te Auflage, Vieweg Verlag, Braunschweig, 1899.

A. Weil.  Demonstration topologique d'un théorème fondamental de cartan.
C. R. Acad. Sci. Paris t., 200:518--520, 1935.

Wen-tsün Wu.  Sur les puissances de Steenrod.
Colloque de Topologie de Strasbourg, 1951, no. IX. 1952. 14,491b

Hermann Weyl.  The classical groups.
Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1997. 98k:01049

Clarence Wilkerson.  Some polynomial algebras over the Steenrod algebra Ap.
Bull. Amer. Math. Soc., 79:1274--1276 (1974), 1973. 49:3938

Clarence Wilkerson.  Classifying spaces, Steenrod operations and algebraic closure.
Topology, 16(3):227--237, 1977. 56:1307

Clarence W. Wilkerson.  Integral closure of unstable Steenrod algebra actions.
J. Pure Appl. Algebra, 13(1):49--55, 1978. 58:24266

Clarence Wilkerson.  A primer on the Dickson invariants.
Proceedings of the Northwestern Homotopy Theory Conference (Evanston, Ill., 1982). 1983. 85c:55017

R. M. W. Wood.  Differential operators and the Steenrod algebra.
Proc. London Math. Soc. (3), 75(1):194--220, 1997. 98h:55024

Oscar Zariski and Pierre Samuel.  Commutative algebra. Vol. 1.
Springer-Verlag, New York, 1975. 52:5641

Oscar Zariski and Pierre Samuel.  Commutative algebra. Vol. II.
Springer-Verlag, New York, 1975. 52:10706