Transitive projective planes and insoluble groups

Gill, Nick (2016). Transitive projective planes and insoluble groups. Transactions of the American Mathematical Society, 368(5) pp. 3017–3057.

DOI: https://doi.org/10.1090/tran/6366

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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