publication . Article . Preprint . 2016

Transitive projective planes and insoluble groups

Nick Gill;
Open Access English
  • Published: 01 May 2016
Abstract
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 $SL_2(5).2$.
Subjects
free text keywords: Mathematics - Group Theory, Mathematics - Combinatorics, 20B25, 51A35, Quaternion, Isomorphism, Sylow theorems, Mathematics, SL2(R), Projective plane, Combinatorics, Transitive relation, Mathematical analysis
Related Organizations

H. Zassenhaus, U¨ber endliche fastk¨orper, Abh. Math. Sem. Hamburg 11 (1936), 187-220.

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publication . Article . Preprint . 2016

Transitive projective planes and insoluble groups

Nick Gill;