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arXiv · 0711.4459

Transitive projective planes and 2-rank

Nick Gill
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Abstract

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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Nick Gill. 2008-03-06. Transitive projective planes and 2-rank. https://arxiv.org/abs/0711.4459

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