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arXiv · 2202.13740

Some remarks on sharply 2-transitive groups and near-domains

Frank Wagner
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Abstract

A sharply 2-transitive permutation group of characteristic 0 whose point stabiliser has an abelian subgroup of finite index splits. More generally, a near-domain of characteristic 0 with a multiplicative subgroup of finite index avoiding all multipliers $d_{a,b}$ must be a near-field. In particular this answers question 12.48 b) of the Kourovka Notebook in characteristic 0.

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Frank Wagner. 2022-02-28. Some remarks on sharply 2-transitive groups and near-domains. https://arxiv.org/abs/2202.13740

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