Transitive projective planes and 2-rank

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dc.creatorGill, Nick
dc.date2007-11-28
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:24:50Z
dc.date.available2026-07-07T09:24:50Z
dc.descriptionSuppose that a group $G$ acts transitively on the points of a non-Desarguesian plane, $\mathcal{P}$. We prove first that the Sylow 2-subgroups of $G$ are cyclic or generalized quaternion. We also prove that $\mathcal{P}$ must admit an odd order automorphism group which acts transitively on the set of points of $\mathcal{P}$.
dc.description29 pages. This version is significantly expanded (9 extra pages). Proofs which were formerly omitted or only sketched are now given in detail. In addition the exposition is (hopefully) much more readable
dc.identifierhttps://arxiv.org/abs/0711.4459
dc.identifierhttp://arxiv.org/abs/0711.4459
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156205
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject20B25; 51A35
dc.titleTransitive projective planes and 2-rank
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