All p-local finite groups of rank two for odd prime p

Details All p-local finite groups of rank two for odd prime p All p-local finite groups of rank two for odd prime p

2004-07-19

arxiv.org/abs/math/0407324v1

Trans. Amer. Math. Soc. 359 (2007), 1725-1764

Mathematics

Algebraic Topology

Scientific paper

10.1090/S0002-9947-06-04367-4

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.

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