On contractibility of the orbit space of a \(G\)-poset of Brauer pairs

DOI10.1006/JABR.1998.7644zbMath0926.20011OpenAlexW2137050748MaRDI QIDQ1284237

Laurence Barker

Publication date: 1 December 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7644

zbMATH Keywords

finite groupsdefect groups\(p\)-blocksBrauer pairsBrown complexescontractible orbit spacessimplicial complexes of chains of \(p\)-subgroupsWebb's conjecture

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Modular representations and characters (20C20) Homological methods in group theory (20J05) Simplicial sets and complexes in algebraic topology (55U10)

Cites Work

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• Local methods in block theory
• Homotopy equivalence of posets with a group action
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• The orbit space of the \(p\)-subgroup complex is contractible
• Alperin's fusion theorems and G-posets

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