Finite almost simple groups whose holomorph contains a solvable regular subgroup
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929285735907328 |
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| author | Tsang, Cindy |
| author_facet | Tsang, Cindy |
| contents | In our previous paper, we gave a complete list of the finite non-abelian simple groups whose holomorph contains a solvable regular subgroup. In this paper, we refine our previous work by considering all finite almost simple groups. In particular, our result yields a complete characterization of the finite almost simple groups which occur as the type of a Hopf-Galois structure on a solvable extension, or equivalently, the additive group of a skew brace having a solvable multiplicative group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15745 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite almost simple groups whose holomorph contains a solvable regular subgroup Tsang, Cindy Group Theory Rings and Algebras In our previous paper, we gave a complete list of the finite non-abelian simple groups whose holomorph contains a solvable regular subgroup. In this paper, we refine our previous work by considering all finite almost simple groups. In particular, our result yields a complete characterization of the finite almost simple groups which occur as the type of a Hopf-Galois structure on a solvable extension, or equivalently, the additive group of a skew brace having a solvable multiplicative group. |
| title | Finite almost simple groups whose holomorph contains a solvable regular subgroup |
| topic | Group Theory Rings and Algebras |
| url | https://arxiv.org/abs/2312.15745 |