Article
| Title: | Some new conditions for solvable groups (English) |
| Author: | Wang, Yuyun |
| Author: | Miao, Long |
| Author: | Zhou, Wenxia |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 1 |
| Year: | 2026 |
| Pages: | 141-150 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We aim at characterizing solvable groups with the aid of core relations between the second maximal subgroup and corresponding maximal subgroups. As applications, the related classes of generalized $p$-local groups are also studied. (English) |
| Keyword: | class of group |
| Keyword: | maximal subgroup |
| Keyword: | second maximal subgroup |
| Keyword: | solvable group |
| MSC: | 20D10 |
| MSC: | 20D20 |
| MSC: | 20F17 |
| DOI: | 10.21136/CMJ.2026.0203-25 |
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| Date available: | 2026-03-13T09:30:44Z |
| Last updated: | 2026-03-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153565 |
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| Reference: | [11] Miao, L., Zhou, W., Gao, Z., Gao, B., Liu, W.: On second maximal subgroups with core relation in finite group.Commun. Algebra 52 (2024), 2430-2436. Zbl 1537.20042, MR 4728954, 10.1080/00927872.2023.2301520 |
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| Reference: | [13] Wang, Y., Miao, L., Gao, Z., Liu, W.: The influence of second maximal subgroups on the generalized $p$-solvability of finite groups.Commun. Algebra 50 (2022), 2584-2591. Zbl 1505.20015, MR 4413853, 10.1080/00927872.2021.2014512 |
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