The powerful class of Sylow subgroups of finite groups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910657935310848 |
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| author | Moravec, Primoz |
| author_facet | Moravec, Primoz |
| contents | The paper explores the effect of powerful class of Sylow $p$-subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the $p$-length of a $p$-solvable group in terms of the poweful class of a Sylow $p$-subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15348 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The powerful class of Sylow subgroups of finite groups Moravec, Primoz Group Theory The paper explores the effect of powerful class of Sylow $p$-subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the $p$-length of a $p$-solvable group in terms of the poweful class of a Sylow $p$-subgroup. |
| title | The powerful class of Sylow subgroups of finite groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2410.15348 |