New Characterizations of Some Classes of Finite Groups
Let ... be a finite group and ... a formation of finite groups. We say that a subgroup ... of ... is ...-normal in ... if there exists a normal subgroup ... of ... such that ... is a normal Hall subgroup of ... and ... is contained in the ...-hypercenter ... of ... In this paper, we obtain some resu...
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| Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2011-01, Vol.34 (3) |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let ... be a finite group and ... a formation of finite groups. We say that a subgroup ... of ... is ...-normal in ... if there exists a normal subgroup ... of ... such that ... is a normal Hall subgroup of ... and ... is contained in the ...-hypercenter ... of ... In this paper, we obtain some results about the ...-normal subgroups and use them to study the structure of finite groups. Some new characterizations of supersoluble groups, soluble groups and ...-nilpotent groups are obtained and some known results are generalized. 2010 Mathematics Subject Classification: 20D10, 20D15, 20D20. (ProQuest: ... denotes formulae omitted.) |
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| ISSN: | 0126-6705 2180-4206 |