The cellular structure of the classifying spaces of finite groups

Abstract

In this paper we complete the description of the $B\mathbb{Z}/p$-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.

27 pages

References in corpus (3)

• Local cohomology and support for triangulated categories
• Classification of certain cellular classes of chain complexes
• Strongly closed subgroups of finite groups

Cited by in corpus (1)

• On the idempotency of some composite functors