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Triple Factorizations and Supersolubility of Finite Groups

Published online by Cambridge University Press:  11 June 2015

Adolofo Ballester-Bolinches
Affiliation:
Departament d’Àlgebra, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain, ([email protected])
Luis M. Ezquerro
Affiliation:
Departamento de Matemáticas, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Navarra, Spain, ([email protected])

Abstract

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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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