On the homotopy type of the non-completed classifying space of a p-local finite group

DOI10.1515/FORUM.2009.036zbMath1168.55005MaRDI QIDQ5191079

Antonio Viruel, Assaf Libman

Publication date: 28 July 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Eilenberg-MacLane spacehomotopy theoryfusion system\(p\)-local finite group

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Eilenberg-Mac Lane spaces (55P20)

Related Items (4)

The normaliser decomposition for \(p\)-local finite groups ⋮ Subgroup collections controlling the homotopy type of a \(p\)-local compact group ⋮ Cohomology of infinite groups realizing fusion systems ⋮ Wreath products and representations of \(p\)-local finite groups.

Cites Work

• Homology decompositions for classifying spaces of finite groups
• The normaliser decomposition for \(p\)-local finite groups
• A generalization of the triad theorem of Blakers-Massey
• Homotopy equivalences of \(p\)-completed classifying spaces of finite groups
• Fundamental group of homotopy colimits.
• Higher limits via subgroup complexes
• Categories and cohomology theories
• The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
• Automorphisms of finite p-groups
• All 𝑝-local finite groups of rank two for odd prime 𝑝
• Extensions of $p$-local finite groups
• Homotopy colimits in the category of small categories
• The homotopy theory of fusion systems
• Equivalences of classifying spaces completed at odd primes
• Unstable homotopy classification of
• On the cohomology of the sporadic simple group J₄
• Subgroup families controlling p-local finite groups

This page was built for publication: On the homotopy type of the non-completed classifying space of a p-local finite group