Triple Factorizations and Supersolubility of Finite Groups

Triple Factorizations and Supersolubility of Finite Groups

In this paper we analyse the structure of a finite group of minimal order among the finite non-supersoluble groups possessing a triple factorization by supersoluble subgroups of pairwise relatively prime indices. As an application we obtain some sufficient conditions for a triple factorized group by...

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2016-05, Vol.59 (2), p.301-309
Hauptverfasser: Ballester-Bolinches, Adolofo, Ezquerro, Luis M.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Factorization
Finite volume method
Mathematical analysis
Subgroups
Theoretical mathematics
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Zusammenfassung:In this paper we analyse the structure of a finite group of minimal order among the finite non-supersoluble groups possessing a triple factorization by supersoluble subgroups of pairwise relatively prime indices. As an application we obtain some sufficient conditions for a triple factorized group by supersoluble subgroups of pairwise relatively prime indices to be supersoluble. Many results appear as consequences of our analysis.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091515000231