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

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.

References in corpus (2)

• Construction of 2-local finite groups of a type studied by Solomon and Benson
• Extension of p-local finite groups

Cited by in corpus (7)

• Unitary embeddings of finite loop spaces
• A completion theorem for fusion systems
• A spectral sequence for fusion systems
• Torsion Free Endotrivial Modules for Finite Groups of Lie Type
• Homological Algebra on Graded Posets
• On defects of characters and decomposition numbers
• Finite groups of rank two which do not involve $Qd(p)$