p-local finite group cohomology

TL;DR

This paper investigates the cohomology of p-local finite groups with non-constant coefficients, establishing conditions for a transfer map and exploring its implications.

Contribution

It introduces a cohomology transfer map for p-local finite groups with non-constant coefficients under specific restrictions, expanding the theoretical framework.

Findings

Existence of a cohomology transfer map under certain conditions

Standard consequences of the transfer map are deduced

Provides new insights into p-local finite group cohomology with variable coefficients

Abstract

We study cohomology for $p$-local finite groups with non-constant coefficient systems. In particular we show that under certain restrictions there exists a cohomology transfer map in this context, and deduce the standard consequences.