On finite $A$-groups with complementable nonmetacyclic subgroups
We study groupsG satisfying the following conditions: (i)G is a finite solvable group with non-Abelian commutant and Abelian Sylow subgroups; (ii) all nonmetacyclic subgroups ofG are complementable. We give a description of the structure of such groups with nonmetacyclic second commutant.
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5515 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We study groupsG satisfying the following conditions:
(i)G is a finite solvable group with non-Abelian commutant and Abelian Sylow subgroups;
(ii) all nonmetacyclic subgroups ofG are complementable.
We give a description of the structure of such groups with nonmetacyclic second commutant. |
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