Finite groups in which nearly S-permutability is a transitive relation

被引:0
作者
Aljamal, Khaled Mustafa [1 ]
Ab Ghani, Ahmad Termimi [1 ]
Al-Sharo, Khaled A. [2 ]
机构
[1] Univ Malaysia Terengganu, Sch Informat & Appl Math, Kuala Nerus 21030, Terengganu, Malaysia
[2] Al Al Bayt Univ, Fac Sci, Dept Math, Al Mafraq, Jordan
关键词
solvable group; Sylow subgroup; permutable subgroup; nearly S -permutable subgroup; SUBGROUPS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A subgroup H of G is called nearly S-permutable in G if for every prime p such that (p,vertical bar H vertical bar) = 1 and for every subgroup K of G containing H the normalizer N-K(H) contains some Sylow p-subgroup of K. A group G is called an NSPT-group if nearly S-permutability is a transitive relation in G. A number of new characterizations of finite solvable NSPT-groups are given.
引用
收藏
页码:493 / 499
页数:7
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