ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS
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Abstract:
Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of G contained in H. In this paper, we study the influence of some SS-normal subgroups on the structure of a finite group G.
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Journal title
volume 5 issue 2
pages 139- 148
publication date 2018-01-01
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