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

DOI10.2140/gt.2018.22.4145zbMath1458.20012arXiv1511.00519OpenAlexW3104843206WikidataQ128700376 ScholiaQ128700376MaRDI QIDQ1757334

Paul Balmer

Publication date: 4 January 2019

Published in: Geometry \ Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00519

zbMATH Keywords

line bundlesendotrivial modulesBrown complexweak homomorphismBrown Quillen complex of \(p\)-subgroups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (2)

Endotrivial modules for finite groups via homotopy theory ⋮ Toward a classification of endotrivial modules

Cites Work

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• Modular representations of finite groups with trivial restriction to Sylow subgroups.
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• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• The orbit space of the \(p\)-subgroup complex is contractible
• Equivariant \(K\)-theory and Alperin's conjecture
• Stacks of group representations.
• The torsion group of endotrivial modules.
• The classification of torsion endo-trivial modules.
• Equivariant K-theory
• Some Remarks on a Conjecture of Alperin

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