ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS

Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JAS-5-2_005

تاریخ نمایه سازی: 18 تیر 1398

Abstract:

Abstract. A subgroup H of a group G is said to be SS-embeddedin G if there exists a normal subgroup T of G such that HT issubnormal 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 subgroupH is an SS-normal subgroup in G if there exists a normal subgroupT of G such that G = HT and H T ≤ H SS , where H SS is anSS-embedded subgroup of G contained in H. In this paper, westudy the influence of some SS-normal subgroups on the structureof a finite group G.

Authors

G. R. REZAEEZADEH

Department of Mathematics, University of Shahrekord, P.O.Box ۱۱۵, Shahrekord, Iran.

Z. AGHAJARI

Department of Mathematics, University of Shahrekord, P.O.Box ۱۱۵, Shahrekord, Iran.