Transitive projective planes and insoluble groups
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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 $\mathrm {SL}_2(5)$ or $\mathrm {SL}_2(5).2$.References
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Additional Information
- Nick Gill
- Affiliation: Department of Mathematics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, United Kingdom
- Address at time of publication: Department of Mathematics, University of South Wales, Treforest, CF37 1DL, United Kingdom
- MR Author ID: 799070
- Email: nick.gill@southwales.ac.uk
- Received by editor(s): January 28, 2013
- Received by editor(s) in revised form: December 20, 2013, and December 21, 2013
- Published electronically: January 6, 2016
- © Copyright 2016 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 3017-3057
- MSC (2010): Primary 20B25, 51A35
- DOI: https://doi.org/10.1090/tran/6366
- MathSciNet review: 3451868