Transitive projective planes and insoluble groups

2009/03/19 by Nick Gill, Gill, Nick
Mathematics · #20B25 #51A35 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #math.CO #math.GR #msc:20B25 #msc:51A35

paper · pdf · doi:10.48550/arxiv.0903.3302

Exactly the same as the last version, but labels have been removed

arxiv created 2013/12/23 · arxiv updated 2013/12/24

Abstract

Suppose that a group G acts transitively on the points of P, a finite non-Desarguesian projective plane. We prove that if G is insoluble then G/O(G) is isomorphic to SL₂(5) or SL₂(5).2.

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