The cellular structure of the classifying spaces of finite groups

Mathematics – Algebraic Topology

Scientific paper

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27 pages

Scientific paper

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 Chach\'olski's description of the $A$-cellular approximation.

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