Homology, Homotopy and Applications

Volume 13 (2011)

Number 1

$p$-local finite group cohomology

Pages: 223 – 257

DOI: http://dx.doi.org/10.4310/HHA.2011.v13.n1.a9

Authors

Ran Levi (Institute of Mathematics, University of Aberdeen, Scotland, United Kingdom)

Kári Ragnarsson (Department of Mathematical Sciences, Depaul University, Chicago, Illinois, U.S.A.)

Abstract

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

Keywords

fusion system; group cohomology; $p$-local finite group

2010 Mathematics Subject Classification

20D20, 20J06, 55R40

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