Transitive projective planes and 2-rank

Details Transitive projective planes and 2-rank Transitive projective planes and 2-rank

2007-11-28

arxiv.org/abs/0711.4459v2

Mathematics

Group Theory

29 pages. This version is significantly expanded (9 extra pages). Proofs which were formerly omitted or only sketched are now

Scientific paper

Suppose 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 $\mathcal{P}$.

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