• Corpus ID: 211097041

# On the geometry of sharply 2-transitive groups

@article{Clausen2020OnTG,
title={On the geometry of sharply 2-transitive groups},
author={Tim Clausen and Katrin Tent},
journal={arXiv: Group Theory},
year={2020}
}
• Published 12 February 2020
• Mathematics
• arXiv: Group Theory
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 $K$.
1 Citations

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• Mathematics, Economics
• 2021
We construct simple sharply 2-transitive groups. Our result answers an open question of Peter Neumann. In fact, we prove that every sharply 2-transitive group G of characteristic 0 embeds into a

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