Article
| Title: | On $\Pi $-property of some maximal subgroups of Sylow subgroups of finite groups (English) |
| Author: | Qiu, Zhengtian |
| Author: | Liu, Jianjun |
| Author: | Chen, Guiyun |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 1349-1358 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $H$ be a subgroup of a finite group $G$. We say that $H$ satisfies the $\Pi $-property in $G$ if for any chief factor $L / K$ of $G$, $| G / K : N_{G / K} ( HK/K\cap L/K )|$ is a $\pi (HK/K\cap L/K) $-number. We study the influence of some $p$-subgroups of $G$ satisfying the $\Pi $-property on the structure of $G$, and generalize some known results. (English) |
| Keyword: | finite group |
| Keyword: | $p$-supersoluble group, $p$-nilpotent group, $\Pi $-property |
| MSC: | 20D10 |
| MSC: | 20D20 |
| idZBL: | Zbl 07790578 |
| DOI: | 10.21136/CMJ.2023.0089-23 |
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| Date available: | 2023-11-23T12:31:03Z |
| Last updated: | 2024-12-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151964 |
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