Transitive projective planes and insoluble groups

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Gill, Nick
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Abstract
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Suppose that a group $G$ acts transitively on the points of $\mathcal{P}$, a finite non-Desarguesian projective plane. We prove that if $G$ is insoluble then $G/O(G)$ is isomorphic to $SL_2(5)$ or $SL_2(5).2$.
Comment: Exactly the same as the last version, but labels have been removed
Keywords
Mathematics - Group Theory, Mathematics - Combinatorics, 20B25, 51A35
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