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

Antonio Diaz·Albert Ruiz·Antonio Viruel
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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.

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Antonio Diaz, Albert Ruiz, Antonio Viruel. 2004-07-19. All p-local finite groups of rank two for odd prime p. https://doi.org/10.1090/s0002-9947-06-04367-4

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