David J. Benson

most citedA realization theorem for modules of constant Jordan type and vector bundles

4 citations · 4 across the 2 of their papers we have counts for

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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

Matrices for finite group representations that respect Galois automorphisms

David J. Benson

We are given a finite group $H$ , an automorphism $τ$ of $H$ of order $r$ , a Galois extension $L / K$ of fields of characteristic zero with cyclic Galois group $⟨ σ ⟩$ of or…

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.RT2010★ 4 cited

A realization theorem for modules of constant Jordan type and vector bundles

David J. Benson, Julia Pevtsova

Let E be an elementary abelian p-group of rank r and let k be a field of characteristic p. We introduce functors F_i from finitely generated kE-modules of constant Jordan type to v…

Modules with finitely generated cohomology

Matrices for finite group representations that respect Galois automorphisms

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

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

A realization theorem for modules of constant Jordan type and vector bundles

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

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