Papers by Dave Benson

Back to Dave Benson's Preprint Archive

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Commutative Banach algebras and modular representation theory

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Some conjectures and their consequences for tensor products of modules over a finite p-group

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Theta functions and a representation of 2^1+(2g+1)Sp(2g,2)

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Rings containing a field of characteristic zero

To appear in Arch Math (Basel).

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Representations of elementary abelian p-groups and vector bundles

CUP 2017.

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Comments and corrections for the books and papers of Dave Benson

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Modules for elementary abelian groups and hypersurface singularities

MSRI, 2013.

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Modules of constant Jordan type and a conjecture of Rickard

To appear in J. Algebra.

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Modules of constant Jordan type with small non-projective part

To appear in Algebras and Representation Theory.

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Modules for elementary abelian p-groups

Proceedings of ICM, Hyderabad, India 2010, Volume II, 113-124. World Scientific 2011.

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Modules of constant Jordan type with one non-projective block

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The Simple Group J₄

Ph D Thesis, Cambridge, 1982.
Thesis supervisor: Prof. J.G. Thompson.

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Periodic resolutions for certain finite groups

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An algebraic model for chains on ΩBG_p^{^}

Transactions of the AMS 361 (2009), 2225-2242.

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Resolutions over symmetric algebras with radical cube zero

J. Algebra 320 (2008), 48-56.

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Idempotent kG-modules with injective cohomology

Journal of Pure and Applied Algebra 212 (2008), 1744-1746.

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On the regularity conjecture for the cohomology of finite groups

Proc. Edinburgh Math. Soc. 51 (2008), 273-284.

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Commutative algebra and duality in the cohomology of groups

Lecture notes for four lectures given at the ICTP, Trieste, 2004.

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On the classifying space and cohomology of Thompson's sporadic simple group

To John Thompson on the occasion of his 70th birthday

Finite Groups 2003: Proceedings of the Gainesville Conference on Finite Groups, March 6-12, 2003.
Edited by Chat Ho, Peter Sin, Pham Tiep and Alex Turull. Walter de Gruyter (2004), 47-57.

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Dickson invariants, regularity and computation in group cohomology

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Commutative algebra in the cohomology of groups

Three lectures given at the opening conference for the MSRI program in commutative algebra, Sept 9-13, 2002.
Trends in Commutative Algebra, MSRI Publications, Volume 51 (2004), 1-50.

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Phantom maps and purity in modular representation theory, III

J. Algebra 248 (2002), 747-754.

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The nucleus, and extensions between modules for a finite group

Proceedings of the Nineth International Conference on Representations of Algebras (ICRA9), Beijing, August 21-Sept 1 2000, Second Volume, Beijing Normal University Press (2002), 145-155.

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Modules with injective cohomology, and local duality for a finite group

New York J. Math. 7 (2001), 201-215.

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Infinite dimensional modules for finite groups

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Flat modules over group rings of finite groups

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Problem session for the Seattle 1996 AMS Summer Research Institute Conference on Cohomology, Representation and Actions of Finite Groups.
Edited by Dave Benson.

Proc. Symp. Pure Math. 63 (1998), 519-532.

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Cohomology of sporadic groups, finite loop spaces, and the Dickson invariants

Proceedings of the 1994 Durham Conference on Geometry and Cohomology in Group Theory, ed. Kropholler, Niblo and Stöhr. London Math. Soc. Lecture Note Series, 252 (1998),10-23.

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The Brauer homomorphism

Needs xypic fonts

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Complexity and varieties for infinite groups, I

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Complexity and varieties for infinite groups, II

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Infinite dimensional modules for a finite group

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Decomposing the complexity quotient category

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Fusion in compact Lie groups

Quart. J. Math. 47 (1996), 261-268.

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Stably splitting BG

Survey article, Bull. AMS 33 (1996), 189-198.

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Cohomology of modules in the principal block of a finite group

New York Journal of Mathematics 1 (1995), 196-205.

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(Warning: the TeX form of this document has some missing lines in the pictures. For a more complete document, see the journal)

Conway's group Co₃ and the Dickson invariants

Manuscripta Mathematica 85 (1994), 177-193

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The image of the transfer

Archiv der Mathematik 61 (1993), 7-11

(Not available in TeX form for copyright reasons)

Polynomial Invariants of Finite Groups

LMS Lecture Notes in Mathematics 190, CUP, 1993

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(Warning: the TeX form of this document has some missing lines in the pictures. For a more complete document, see the Springer Lecture Notes volume)

Resolutions and Poincaré duality for finite groups

In: Proceedings of the June 1990 Barcelona conference on Homotopy and Group Cohomology. Springer Lecture Notes in Mathematics 1509, Springer-Verlag, 1992.

(Not available in TeX form for copyright reasons)

Representations and Cohomology, Vol. I: Basic representation theory of finite groups and associative algebras

(xi + 224 pp.)

Cambridge Studies in Advanced Mathematics 30, CUP 1991

MR 92m:20005, ZB 718.20001

Paperback edition, CUP 1998.

MR 99f:20001

(Not available in TeX form for copyright reasons)

Representations and Cohomology, Vol. II: Cohomology of groups and modules

(x + 278 pp.)

Cambridge Studies in Advanced Mathematics 31, CUP 1991

MR 93g:20099, ZB 731.20001

Paperback edition, CUP 1998.

MR 99f:20001

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Cyclic homology and path algebra resolutions

Math. Proc. Camb. Phil. Soc. 106 (1989), 57-66

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Projective modules for the group of the twenty-seven lines on a cubic surface

Comm. in Algebra 17 (5) (1989), 1017-1068

See the comment in the comments file (top of this page) about the main theorem of this paper.

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Spin modules for symmetric groups

J. London Math. Soc. (2) 38 (1988), 250-262

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Some remarks on the decomposition numbers for the symmetric groups

The Arcata Conference on Representations of Finite Groups, Proc. Symp. Pure Math. AMS 47, Part 1 (1987), 381-394

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Representation rings of finite groups

(Two lectures given at the 1985 Durham Symposium on the Representations of Algebras) Representations of Algebras, Durham 1985. LMS Lecture Notes in Mathematics 116, 181-199, CUP, 1986

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Modules for finite groups: representation rings, quivers and varieties

(Three lectures given at the Fourth International Conference on the Representations of Algebras) Representation Theory II, Groups and Orders, Ottawa 1984. Springer Lecture Notes in Mathematics 1178, 1-24. Springer-Verlag, Berlin/New York 1986

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Brauer trees for 12M₂₂

J. of Algebra 95 (1985), 398-408

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Some recent trends in modular representation theory

Proceedings of the group theory year at Rutgers, CUP 1985, 249-259

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Lambda and psi operations on Green rings

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Modular representation theory: New trends and methods

Springer Lecture Notes in Mathematics 1081, Springer-Verlag, Berlin/New York 1984

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The Loewy structure of the projective indecomposable modules for A₈ in characteristic 2

Comm. in Algebra 11 (13) (1983), 1395-1432

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The Loewy structure of the projective indecomposable modules for A₉ in characteristic 2

Comm. in Algebra 11 (13) (1983), 1433-1453

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Extended (6 page) index for Cartan and Eilenberg, Homological Algebra, PUP, 1956. Compiled by Dave Benson, 2003.