Some criteria for supersolubility in products of finite groups

Abstract

Let H and T be subgroups of a finite group G. H is said to be permutable with T in G if HT = TH. In this paper, we use the concept of permutable subgroups to give two new criterions of supersolubility of the product G = AB of finite supersoluble groups A and B.

Keywords

Finite group / permutable group / maximal subgroup / Sylow sub-group / supersoluble group

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