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Adolfo Ballester-Bolinches and Luis M. Ezquerro.
Triple factorizations and supersolubility of finite groups.
Proc. Edinb. Math. Soc. (2), 59(2):301–309, 2016.
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.
Keywords: Finite group, Supersoluble group, Factorization