Article
| Title: | Structure of finite groups decided by the property of primary subgroups (English) |
| Author: | Chen, Ruifang |
| Author: | Wang, Chen |
| Author: | Zhao, Xianhe |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 2 |
| Year: | 2026 |
| Pages: | 469-477 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $G$ be a finite group. A subgroup $H$ of $G$ is called weakly nearly $S$-permutable in $G$ if there exists a normal subgroup $K$ of $G$ such that $G=HK$ and $H\cap K$ is nearly $S$-permutable in $G$. We investigate the influence of primary weakly nearly $S$-permutable subgroups on the structure of group $G$. In particular, some new criteria for a group to be $p$-nilpotent or supersoluble are given. (English) |
| Keyword: | weakly nearly $S$-permutable subgroup |
| Keyword: | $p$-nilpotent group |
| Keyword: | supersoluble group |
| Keyword: | saturated formation |
| MSC: | 20D10 |
| MSC: | 20D20 |
| DOI: | 10.21136/CMJ.2026.0229-25 |
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| Date available: | 2026-05-22T11:19:15Z |
| Last updated: | 2026-05-25 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153643 |
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| Reference: | [7] Miao, L., Zhang, J.: On a class of non-solvable groups.J. Algebra 496 (2018), 1-10. Zbl 1421.20008, MR 3737830, 10.1016/j.jalgebra.2017.10.016 |
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