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arXiv · 2002.05187

On the geometry of sharply 2-transitive groups

Tim Clausen·Katrin Tent
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Abstract

We show that the geometry associated to certain non-split sharply 2-transitive groups does not contain a proper projective plane. For a sharply 2-transitive group of finite Morley rank we improve known rank inequalities for this geometry and conclude that a sharply 2-transitive group of Morley rank 6 must be of the form $K\rtimes K^*$ for some algebraically closed field $K$.

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Tim Clausen, Katrin Tent. 2020-02-12. On the geometry of sharply 2-transitive groups. https://arxiv.org/abs/2002.05187

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