ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS | ||
| Journal of Algebraic Systems | ||
| مقاله 5، دوره 5، شماره 2، فروردین 2018، صفحه 139-148 اصل مقاله (185.63 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2017.5274.1270 | ||
| نویسندگان | ||
| G. R. REZAEEZADEH* ؛ Z. AGHAJARI | ||
| Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| SS-normal subgroup؛ SS-embedded subgroup؛ p-nilpotent group | ||
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