Some remarks on sharply 2-transitive groups and near-domains
Group Theory
2024-03-20 v3
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 must be a near-field. In particular this answers question 12.48 b) of the Kourovka Notebook in characteristic 0.
Keywords
Cite
@article{arxiv.2202.13740,
title = {Some remarks on sharply 2-transitive groups and near-domains},
author = {Frank Wagner},
journal= {arXiv preprint arXiv:2202.13740},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1811.10854