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

Authors: Antonio Diaz, Albert Ruiz, Antonio Viruel


ArXive submission number: math.AT/0407324

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.