Finite groups in which every maximal invariant subgroup of order divisible by $p$ is nilpotent
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866929706920574976 |
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| author | Shi, Jiangtao Shan, Mengjiao Xu, Fanjie |
| author_facet | Shi, Jiangtao Shan, Mengjiao Xu, Fanjie |
| contents | Let $A$ and $G$ be finite groups such that $A$ acts coprimely on $G$ by automorphisms. For any fixed prime divisor $p$ of $|G|$, we provide a complete characterization of the structure of a group $G$ in which every maximal $A$-invariant subgroup of order divisible by $p$ is nilpotent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06408 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite groups in which every maximal invariant subgroup of order divisible by $p$ is nilpotent Shi, Jiangtao Shan, Mengjiao Xu, Fanjie Group Theory 20D10, 20D15 Let $A$ and $G$ be finite groups such that $A$ acts coprimely on $G$ by automorphisms. For any fixed prime divisor $p$ of $|G|$, we provide a complete characterization of the structure of a group $G$ in which every maximal $A$-invariant subgroup of order divisible by $p$ is nilpotent. |
| title | Finite groups in which every maximal invariant subgroup of order divisible by $p$ is nilpotent |
| topic | Group Theory 20D10, 20D15 |
| url | https://arxiv.org/abs/2502.06408 |