Transitive projective planes and insoluble groups

Nick Gill

doi:10.1090/tran/6366

Transitive projective planes and insoluble groups

Nick Gill

Faculty of Computing, Engineering and Science

Research output: Contribution to journal › Article › peer-review

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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 $SL_2(5).2$.

Original language	English
Pages (from-to)	3017-3057
Number of pages	41
Journal	Transactions of the American Mathematical Society
Volume	368
DOIs	https://doi.org/10.1090/tran/6366
Publication status	Published - 6 Jan 2016

Keywords

math.GR
math.CO
20B25, 51A35

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10.1090/tran/6366Licence: CC BY-NC-ND

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AB - 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 $SL_2(5).2$.

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Transitive projective planes and insoluble groups

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