The orbit space of the \(p\)-subgroup complex is contractible

DOI10.1007/S000140050061zbMath0911.20020OpenAlexW2056942960MaRDI QIDQ1266442

Peter Symonds

Publication date: 2 March 1999

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050061

zbMATH Keywords

finite groupshomology groupsQuillen complexBrown complex\(p\)-subgroup complexesWebb conjecture

Mathematics Subject Classification ID

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

Related Items (8)

Endotrivial modules for finite groups via homotopy theory ⋮ Minami-Webb splittings and some exotic \(p\)-local finite groups ⋮ Contractibility of the orbit space of the 𝑝-subgroup complex via Brown-Forman discrete Morse theory ⋮ The homotopy types of the posets of \(p\)-subgroups of a finite group ⋮ A stronger reformulation of Webb's conjecture in terms of finite topological spaces ⋮ Endotrivial representations of finite groups and equivariant line bundles on the Brown complex ⋮ Webb's conjecture for fusion systems. ⋮ On contractibility of the orbit space of a \(G\)-poset of Brauer pairs

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