Geometry & Topology

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

Paul Balmer

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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.

Article information

Source
Geom. Topol., Volume 22, Number 7 (2018), 4145-4161.

Dates
Received: 23 May 2017
Accepted: 9 July 2018
First available in Project Euclid: 14 December 2018

Permanent link to this document
https://projecteuclid.org/euclid.gt/1544756696

Digital Object Identifier
doi:10.2140/gt.2018.22.4145

Mathematical Reviews number (MathSciNet)
MR3890773

Zentralblatt MATH identifier
06997385

Subjects
Primary: 20C20: Modular representations and characters 55P91: Equivariant homotopy theory [See also 19L47]

Keywords
endotrivial modules line bundles Brown complex Brown Quillen complex of $p$–subgroups weak homomorphism

Citation

Balmer, Paul. Endotrivial representations of finite groups and equivariant line bundles on the Brown complex. Geom. Topol. 22 (2018), no. 7, 4145--4161. doi:10.2140/gt.2018.22.4145. https://projecteuclid.org/euclid.gt/1544756696


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