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A. Ballester-Bolinches, Y. Li, M. C. Pedraza-Aguilera, Ning Su.
On factorised finite groups.
Mediterr. J. Math., 17(2):Paper No. 65, 7, 2020.

doi:10.1007/s00009-020-1500-1

Abstract

A subgroup H of a finite group G is called ℙ-subnormal in G if either H = G or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised as the product of two ℙ-subnormal subgroups is showed.

2020 Mathematics Subject Classification: 20D10, 20D25

Keywords: finite group; factorised group; w-supersoluble group; ℙ-subnormal subgroup