## Transitive projective planes and insoluble groups

Gill, Nick
##### Description
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