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This article is available for purchase or by subscription. See below.
Abstract
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We relate endotrivial representations of a finite group in
characteristic
to equivariant line bundles on the simplicial complex of nontrivial
–subgroups,
by means of weak homomorphisms.
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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
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Mathematical Subject Classification 2010
Primary: 20C20, 55P91
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Publication
Received: 23 May 2017
Accepted: 9 July 2018
Published: 6 December 2018
Proposed: Jesper Grodal
Seconded: Haynes R Miller, Mark Behrens
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