Extension of p-local finite groups
Algebraic Topology
2007-06-13 v1 Group Theory
Abstract
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.
Cite
@article{arxiv.math/0502359,
title = {Extension of p-local finite groups},
author = {Carles Broto and Natalia Castellana and Jesper Grodal and Ran Levi and Bob Oliver},
journal= {arXiv preprint arXiv:math/0502359},
year = {2007}
}
Comments
66 pages