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David John Benson

Professor

    • AB24 3UE

    • 230 Citations
    20012019
    If you made any changes in Pure these will be visible here soon.

    Research Output 2001 2019

    • 230 Citations
    • 31 Article
    • 1 Book
    • 1 Comment/debate
    2019
    4 Downloads (Pure)

    Fields of Definition for Representations of Associative Algebras

    Benson, D. & Reichstein, Z., Feb 2019, In : Proceedings of the Edinburgh Mathematical Society. 62, 1, p. 291-304 14 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Associative Algebra
    Representation Type
    Algebraic extension
    F-algebra
    Field extension
    2018
    1 Citation (Scopus)

    Cohomology of symplectic groups and Meyer’s signature theorem

    Benson, D., Campagnolo, C., Ranicki, A. & Rovi, C., 11 Dec 2018, In : Algebraic & Geometric Topology. 18, p. 4069–4091 23 p.

    Research output: Contribution to journalArticle

    Symplectic Group
    Cohomology
    Quotient
    Signature
    Central Extension

    Local duality for representations of finite group schemes

    Benson, D., Iyengar, S. B., Krause, H. & Pevtsova, J., 12 Nov 2018, (Accepted/In press) In : Compositio Mathematica.

    Research output: Contribution to journalArticle

    Open Access
    File
    Group Scheme
    Duality
    Finite Group
    Cohomology Ring
    Duality Theorems
    1 Citation (Scopus)

    Nilpotence and generation in the stable module category

    Benson, D. J. & Carlson, J. F., 30 Nov 2018, In : Journal of Pure and Applied Algebra. 222, 11, p. 3566-3584 19 p.

    Research output: Contribution to journalArticle

    Tensor
    Module
    Stable Homotopy
    Modular Representations
    Homotopy Theory
    3 Citations (Scopus)
    4 Downloads (Pure)

    Stratification for module categories of finite group schemes

    Benson, D., Iyengar, S. B., Krause, H. & Pevtsova, J., 31 Jan 2018, In : Journal of the American Mathematical Society. 31, 1, p. 265-302 38 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Group Scheme
    Stratification
    Tensors
    Finite Group
    Module
    2017
    4 Downloads (Pure)

    Rings containing a field of characteristic zero

    Benson, D. J., Nov 2017, In : Archiv der Mathematik. 109, 5, p. 413-414 2 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Subgroup
    Ring
    Zero
    2014
    2 Citations (Scopus)
    10 Citations (Scopus)

    Group cohomology and control of p-fusion

    Benson, D. J., Grodal, J. & Henke, E., Sep 2014, In : Inventiones Mathematicae. 197, 3, p. 491-507 16 p.

    Research output: Contribution to journalArticle

    2009
    8 Citations (Scopus)

    Gluing representations via idempotent modules and constructing endotrivial modules

    Balmer, P., Benson, D. J. & Carlson, J. F., Feb 2009, In : Journal of Pure and Applied Algebra. 213, 2, p. 173-193 21 p.

    Research output: Contribution to journalArticle

    2008
    14 Citations (Scopus)

    Complexes of injective kG-modules

    Benson, D. J. & Krause, H., 2008, In : Algebra & Number Theory. 2, 1, p. 1-30 30 p.

    Research output: Contribution to journalArticle

    5 Citations (Scopus)
    9 Downloads (Pure)

    On the regularity conjecture for the cohomology of finite groups

    Benson, D. J., 2008, In : Proceedings of the Edinburgh Mathematical Society. 51, 2, p. 273-284 12 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    12 Citations (Scopus)

    Resolutions over symmetric algebras with radical cube zero

    Benson, D. J., 1 Jul 2008, In : Journal of Algebra. 320, 1, p. 48-56 9 p.

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Unique factorization in invariant power series rings

    Benson, D. J. & Webb, P. J., Jan 2008, In : Journal of Algebra. 319, 2, p. 702-715 14 p.

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Varieties and cohomology of infinitely generated modules

    Benson, D. J. & Carlson, J. F., 2008, In : Archiv der Mathematik. 91, 2, p. 122-125 4 p.

    Research output: Contribution to journalArticle

    2007
    8 Citations (Scopus)

    Blocks inequivalent to their Frobenius twists

    Benson, D. J. & Kessar, R., 15 Sep 2007, In : Journal of Algebra. 315, 2, p. 588-599 12 p.

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Detecting pro-p-groups that are not absolute Galois groups

    Benson, D. J., Lemire, N., Minác, J. & Swallow, J., Dec 2007, In : Journal für die reine und angewandte Mathematik. 2007, 613, p. 175-191 17 p.

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Rank varieties for a class of finite-dimensional local algebras

    Benson, D. J., Erdmann, K. & Holloway, M., Nov 2007, In : Journal of Pure and Applied Algebra. 211, 2, p. 497-510 14 p.

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Support varieties for Weyl modules over bad primes

    Benson, D. J., Boe, B. D., Chastkofsky, L., Nakano, D. K., Jang Hyun, J., Kujawa, J., Mazza, N., Bergonio, P., Cooper, B., Hower, J., Platt, K. J., Wright, C. & UGA VIGRE Algebra Group, 15 Jun 2007, In : Journal of Algebra. 312, 2, p. 602-633 32 p.

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    The generating hypothesis for the stable module category of a p-group

    Benson, D. J., Chebolu, S. K., Christensen, J. D. & Minác, J., 1 Apr 2007, In : Journal of Algebra. 310, 1, p. 428-433 6 p.

    Research output: Contribution to journalArticle

    2006

    Music: A Mathematical Offering

    Benson, D. J., Nov 2006, Cambridge University Press. 411 p.

    Research output: Book/ReportBook

    Music
    Mathematics
    Psychoacoustics
    Dissonance
    Amateur
    2005
    7 Citations (Scopus)

    Varieties of nilpotent elements for simple Lie algebras II: bad primes

    Benson, D. J., Boe, B. D., Nakano, D. K., Mazza, N. & UGA VIGRE Algebra Group, 2005, In : Journal of Algebra. 292, p. 65-99 34 p.

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Vertex and source determine the block variety of an indecomposable module

    Benson, D. J. & Linckelmann, M., 1 May 2005, In : Journal of Pure and Applied Algebra. 197, 1-3, p. 11-17 7 p.

    Research output: Contribution to journalArticle

    2004
    17 Citations (Scopus)

    Dickson invariants, regularity and computation in group cohomology

    Benson, D. J., Mar 2004, In : Illinois Journal of Mathematics. 48, 1, p. 171-197 26 p.

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Non-principal blocks with one simple module

    Benson, D. J. & Green, E. L., 2004, In : Quarterly Journal of Mathematics. 55, 1, p. 1-11 10 p.

    Research output: Contribution to journalArticle

    18 Citations (Scopus)

    Realizability of modules over Tate cohomology

    Benson, D. J., Krause, H. & Schwede, S., Jan 2004, In : Transactions of the American Mathematical Society. 356, 9, p. 3621-3668 47 p.

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Varieties of nilpotent elements for simple Lie algebras I: Good primes

    Benson, D. J., Boe, B. D., Nakano, D. K., Mazza, N. & UGA VIGRE Algebra Group, 2004, In : Journal of Algebra. 280, 2, p. 719-737 18 p.

    Research output: Contribution to journalArticle

    2003
    10 Citations (Scopus)

    Symmetries of Kirchberg algebras

    Benson, D. J., Kumjian, A. & Phillips, N. C., 2003, In : Canadian Mathematical Bulletin. 46, p. 509-528 19 p.

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    The nucleus for restricted Lie algebras

    Benson, D. J. & Nakano, D. K., 2003, In : Proceedings of the American Mathematical Society. 131, 11, p. 3395-3405 10 p.

    Research output: Contribution to journalArticle

    2002
    11 Citations (Scopus)

    Phantom maps and purity in modular representation theory, III

    Benson, D. J., 15 Feb 2002, In : Journal of Algebra. 248, 2, p. 747-754 7 p.

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Pure injectives and the spectrum of the cohomology ring of a finite group

    Benson, D. J. & Krause, H., 2002, In : Journal für die reine und angewandte Mathematik. 542, p. 23-51 28 p.

    Research output: Contribution to journalArticle

    2001
    1 Citation (Scopus)

    Green correspondence for infinitely generated modules

    Benson, D. J. & Wheeler, W. W., 2001, In : Journal of the London Mathematical Society. 63, 2, p. 69-82 13 p.

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

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

    Benson, D. J., Feb 2001, In : New York Journal of Mathematics, The. 7, p. 201-215 14 p.

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Phantom maps and purity in modular representation theory, II

    Benson, D. J. & Gnacadja, D. G. P., 2001, In : Algebras and Representation Theory. 4, p. 395-404 9 p.

    Research output: Contribution to journalArticle