Some remarks on sharply 2-transitive groups and near-domains
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Accesso online: | |
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| _version_ | 1866914716246343680 |
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| author | Wagner, Frank |
| author_facet | Wagner, Frank |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_13740 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Some remarks on sharply 2-transitive groups and near-domains Wagner, Frank Group Theory 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. |
| title | Some remarks on sharply 2-transitive groups and near-domains |
| topic | Group Theory |
| url | https://arxiv.org/abs/2202.13740 |