D. Benson

activity

20032023

most citedStratifying triangulated categories

104 citations · 212 across the 33 of their papers we have counts for

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33 papers · 1 filter

math.RT2023

Modules with finitely generated cohomology

David J. Benson, Jon F. Carlson

Let $G$ be a finite group and $k$ a field of characteristic $p$ . It is conjectured in a paper of the first author and John Greenlees that the thick subcategory of the stab…

math.RT2023

Modules with finitely generated cohomology, and singularities of $C^{*} B G$

David J. Benson, John Greenlees

Let $G$ be a finite group and $k$ a field of characteristic $p$ . We conjecture that if $M$ is a $k G$ -module with $H^{*} (G, M)$ finitely generated as a module over $H^{*} (G, k)$ then as a…

math.RT2023

The socle of the group algebra of a finite $p$ -group

David J. Benson

Let $G$ be a finite $p$ -group, and $α$ an automorphism of the group algebra $F_{p} G$ . Then $α$ fixes the socle of $F_{p} G$ pointwise. More generally, if $k$ is a fi…

math.RT2022

Classifying spaces of finite groups of tame representation type

David J. Benson

Thanks to the work of Karin Erdmann, we know a great deal about the representation theory of blocks of finite groups with tame representation type. Our purpose here is to examine t…

math.RT2022

Fibrewise stratification of group representations

Dave Benson, Srikanth B. Iyengar, Henning Krause +1

Given a finite cocommutative Hopf algebra $A$ over a commutative regular ring $R$ , the lattice of localising tensor ideals of the stable category of Gorenstein projective $A$ -modul…

math.RT2022

Structure of blocks with normal defect and abelian $p^{'}$ inertial quotient

David Benson, Radha Kessar, Markus Linckelmann

Let $k$ be an algebraically closed field of prime characteristic $p$ . Let $k G e$ be a block of a group algebra of a finite group $G$ , with normal defect group $P$ and abelian $p^{'}$ i…

Modules with finitely generated cohomology

Modules with finitely generated cohomology, and singularities of C∗BG

The socle of the group algebra of a finite p-group

Classifying spaces of finite groups of tame representation type

Fibrewise stratification of group representations

Structure of blocks with normal defect and abelian p′ inertial quotient

Modules with finitely generated cohomology, and singularities of $C^{*} B G$

The socle of the group algebra of a finite $p$ -group

Structure of blocks with normal defect and abelian $p^{'}$ inertial quotient