On an extension of Shlyk's theorem
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910994550226944 |
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| author | Shi, Jiangtao Xu, Fanjie Li, Na |
| author_facet | Shi, Jiangtao Xu, Fanjie Li, Na |
| contents | In this paper, we prove that the intersection of all non-nilpotent maximal subgroups of a non-solvable group containing the normalizer of some Sylow subgroup is nilpotent, which provides an extension of Shlyk's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02885 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On an extension of Shlyk's theorem Shi, Jiangtao Xu, Fanjie Li, Na Group Theory 20D10 In this paper, we prove that the intersection of all non-nilpotent maximal subgroups of a non-solvable group containing the normalizer of some Sylow subgroup is nilpotent, which provides an extension of Shlyk's theorem. |
| title | On an extension of Shlyk's theorem |
| topic | Group Theory 20D10 |
| url | https://arxiv.org/abs/2506.02885 |