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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

Keywords
endotrivial modules, line bundles, Brown complex, Brown Quillen complex of $p$–subgroups, weak homomorphism
Mathematical Subject Classification 2010
Primary: 20C20, 55P91
References
Publication
Received: 23 May 2017
Accepted: 9 July 2018
Published: 6 December 2018
Proposed: Jesper Grodal
Seconded: Haynes R Miller, Mark Behrens
Authors
Paul Balmer
Mathematics Department
UCLA
Los Angeles, CA
United States
http://www.math.ucla.edu/~balmer