Abelian supplements in almost simple groups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909467805745152 |
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| author | Costantini, Mauro Lucchini, Andrea Nemmi, Daniele |
| author_facet | Costantini, Mauro Lucchini, Andrea Nemmi, Daniele |
| contents | Let $G$ be a finite almost simple group with socle $G_0$. In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup $A$ of $G$ such that $G=AG_0$. We propose a few applications of this structural property of almost simple groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Abelian supplements in almost simple groups Costantini, Mauro Lucchini, Andrea Nemmi, Daniele Group Theory Let $G$ be a finite almost simple group with socle $G_0$. In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup $A$ of $G$ such that $G=AG_0$. We propose a few applications of this structural property of almost simple groups. |
| title | Abelian supplements in almost simple groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2404.11059 |