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Triple Factorizations and Supersolubility of Finite Groups
Published online by Cambridge University Press: 11 June 2015
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.
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- Copyright © Edinburgh Mathematical Society 2016
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