J. Carlson

activity

20072024

most citedModules of constant Jordan type

16 citations · 55 across the 27 of their papers we have counts for

collaborators

Showing math.RTShow all

19 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.RT2022

The ranks of homology of complexes of projective modules over finite groups

Jon F. Carlson

We show that counterexamples of Iyengar and Walker to the algebraic version of Gunnar Carlsson's conjecture on the rank of the homology of a free complex can be extended to example…

math.RT2022

Idempotent modules, locus of compactness and local supports

Jon F. Carlson

Let $k G$ be the group algebra of a finite group scheme defined over a field $k$ of characteristic $p > 0$ . Associated to any closed subset $V$ of the projectivized prime ideal spectr…

math.RT2022

The endomorphism ring of the trivial module in a localized category

Jon F. Carlson

Suppose that $G$ is a finite group and $k$ is a field of characteristic $p > 0$ . Let $M$ be the thick tensor ideal of finitely generated modules whose support variety is i…

math.RT2022

Nilpotence and Duality in the Complete Cohomology of a Module

Jon F. Carlson

Suppose that $G$ is a finite group and $k$ is a field of characteristic $p > 0$ . We consider the complete cohomology ring $\mathcal{E}_M^* = \sum_{n \in \mathbb{Z}} \widehat{Ext}^n_{…

math.RT2020

Negative cohomology and the endomorphism ring of the trivial module

Jon F. Carlson

Let $k$ be a field of characteristic $2$ and let $H$ be a finite group or group scheme. We show that the negative Tate cohomology ring $H^{\leq 0} (H, k)$ can be rea…