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

نویسندگان

  • G. R. REZAEEZADEH Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord, Iran.
  • Z. AGHAJARI Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord, Iran.
چکیده مقاله:

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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عنوان ژورنال

دوره 5  شماره 2

صفحات  139- 148

تاریخ انتشار 2018-01-01

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