All p-local finite groups of rank two for odd prime p
Algebraic Topology
2010-06-01 v1 Group Theory
Abstract
In this paper we give a classification of the rank two p-local finite groups for odd p. This study requires the analisis of the possible saturated fusion systems in terms of the outer automorphism group ant the proper F-radical subgroups. Also, for each case in the classification, either we give a finite group with the corresponding fusion system or we check that it corresponds to an exotic p-local finite group, getting some new examples of these for p = 3.
Keywords
Cite
@article{arxiv.math/0407324,
title = {All p-local finite groups of rank two for odd prime p},
author = {Antonio Diaz and Albert Ruiz and Antonio Viruel},
journal= {arXiv preprint arXiv:math/0407324},
year = {2010}
}