REZAEEZADEH, G., AGHAJARI, Z. (2018). ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS. Journal of Algebraic Systems, 5(2), 139-148. doi: 10.22044/jas.2017.5274.1270
G. R. REZAEEZADEH; Z. AGHAJARI. "ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS". Journal of Algebraic Systems, 5, 2, 2018, 139-148. doi: 10.22044/jas.2017.5274.1270
REZAEEZADEH, G., AGHAJARI, Z. (2018). 'ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS', Journal of Algebraic Systems, 5(2), pp. 139-148. doi: 10.22044/jas.2017.5274.1270
REZAEEZADEH, G., AGHAJARI, Z. ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS. Journal of Algebraic Systems, 2018; 5(2): 139-148. doi: 10.22044/jas.2017.5274.1270
ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS
Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord, Iran.
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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