Volume 22, issue 7 (2018)

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Endotrivial representations of finite groups and equivariant line bundles on the Brown complex

Paul Balmer

Geometry & Topology 22 (2018) 4145–4161
Abstract

We relate endotrivial representations of a finite group in characteristic $p$ to equivariant line bundles on the simplicial complex of nontrivial $p$–subgroups, by means of weak homomorphisms.

 Dedicated to Serge Bouc on the occasion of his 60th birthday

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Keywords
endotrivial modules, line bundles, Brown complex, Brown Quillen complex of $p$–subgroups, weak homomorphism
Mathematical Subject Classification 2010
Primary: 20C20, 55P91