Quasirecognition by the Prime Graph of the Group ..., Where ... is Odd

Quasirecognition by the Prime Graph of the Group ..., Where ... is Odd

Let ... be a finite group and let ... be the prime graph of ... We assume that ... is an odd number. In this paper, we show that if ..., where ..., then ... has a unique nonabelian composition factor isomorphic to ... As consequences of our result, ... is quasirecognizable by its spectrum and by a n...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2011-09, Vol.34 (3)
Hauptverfasser: Ghasemabadi, Mahnaz oudi, Iranmanesh, Ali
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung:Let ... be a finite group and let ... be the prime graph of ... We assume that ... is an odd number. In this paper, we show that if ..., where ..., then ... has a unique nonabelian composition factor isomorphic to ... As consequences of our result, ... is quasirecognizable by its spectrum and by a new proof the validity of a conjecture of W. J. Shi for ... is obtained. 2010 Mathematics Subject Classification: 20D05, 20D06, 20D60. (ProQuest: ... denotes formulae omitted.)
ISSN:0126-6705
2180-4206