FINITE GROUPS WITH ABNORMAL MINIMAL NONNILPOTENT SUBGROUPS
| Autor: | ZHIGANG WANG, JINZHUAN CAI, INNA N. SAFONOVA, ALEXANDER N. SKIBA |
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| Rok vydání: | 2022 |
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| Zdroj: | Bulletin of the Australian Mathematical Society. 107:261-270 |
| ISSN: | 1755-1633 0004-9727 |
| Popis: | We describe finite soluble nonnilpotent groups in which every minimal nonnilpotent subgroup is abnormal. We also show that if G is a nonsoluble finite group in which every minimal nonnilpotent subgroup is abnormal, then G is quasisimple and $Z(G)$ is cyclic of order $|Z(G)|\in \{1, 2, 3, 4\}$ . |
| Databáze: | OpenAIRE |
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