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supersoluble group

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Triple Factorizations and Supersolubility of Finite Groups
Part of
- Representation theory of groups
Adolofo Ballester-Bolinches, Luis M. Ezquerro
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 59 / Issue 2 / May 2016

Published online by Cambridge University Press:

11 June 2015, pp. 301-309
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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.