On nearly S-permutably embedded subgroups of finite groups

被引:1
作者
Al-Sharo, Kh A. [1 ]
机构
[1] Al Bayt Univ, Mafraq City, Jordan
关键词
nearly S-permutably embedded subgroup; saturated formation; solvable group; supersolvable group; maximal subgroup; MINIMAL SUBGROUPS; SUFFICIENT CONDITIONS; C-NORMALITY; ORDER;
D O I
10.1134/S0001434612030200
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let Gbe a finite group. A subgroup H of G is said to be S-permutable in G if HP = PH for all Sylow subgroups P of G. A subgroup A of a group G is said to be S-permutably embedded in G if for each Sylow subgroup of A is also a Sylow of some S-permutable subgroup of G. In this paper, we analyze the following generalization of this concept. Let H be a subgroup of a group G. Then we say that H is nearly S-permutably embedded in G if G has a subgroup T and an S-permutably embedded subgroup C a parts per thousand currency sign H such that HT = G and T a (c) H a parts per thousand currency sign C. We study the structure of G under the assumption that some subgroups of G are nearly S-permutably embedded in G. Some known results are generalized.
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页码:470 / 478
页数:9
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