The cellular structure of the classifying spaces of finite groups

2008/09/24 by Ramón Flores, Ramón J. Flores, Flores, Ramón J. +3 · 1 citation
Mathematics · #55P20 #55P60 #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GR #msc:55P20 #msc:55P60

paper · pdf · doi:10.48550/arxiv.0809.4116

27 pages

openalex publication_date 2008/09/24 · arxiv created 2009/11/27 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we complete the description of the Bℤ /p-cellularization of the classifying spaces of all finite groups, for all primes p. The techniques are based in a careful analysis of the p-fusion structure of the groups involved -with special attention to their strongly closed subgroups- and Chachólski's description of the A-cellular approximation.

Citations

• Classification of certain cellular classes of chain complexes
• Local cohomology and support for triangulated categories

Cited by

• On the idempotency of some composite functors

Related

• Cellularization of classifying spaces and fusion properties of finite groups
• Cellular approximations of fusion systems
• Postnikov pieces and BZ/p-homotopy theory
• Decomposing the classifying diagram in terms of classifying spaces of groups
• Alternative stable homotopy classification of p-completed classifying spaces