Extension of p-local finite groups

Details Extension of p-local finite groups Extension of p-local finite groups

2005-02-16

arxiv.org/abs/math/0502359v1

Trans. Amer. Math. Soc. 359 (2007), 3791-3858

Mathematics

Algebraic Topology

66 pages

Scientific paper

A p-local finite group consists of a finite p-group S, together with a pair of categories which encode ``conjugacy'' relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying spaces of finite groups. In this paper, we study and classify extensions of p-local finite groups, and also compute the fundamental group of the classifying space of a p-local finite group.

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