Paper “Triple Factorizations and Supersolubility of Finite Groups” published on Proc. Edinb. Math. Soc.

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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.

https://doi.org/10.1017/S0013091515000231

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.

Keywords: Finite group, Supersoluble group, Factorization