Finite Groups in which SS-Permutability is a Transitive Relation

被引:0
|
作者
X. Y. Chen
W. B. Guo
机构
[1] Wu Wen-Tsun Key Laboratory of Mathematics,Department of Mathematics
[2] University of Science and Technology of China,undefined
来源
Acta Mathematica Hungarica | 2014年 / 143卷
关键词
SS-permutability; S-semipermutability; PST-group; BT-group; SSTgroup; 20D10; 20D20; 20D35;
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学科分类号
摘要
A subgroup H of a finite group G is said to be SS-permutable in G if H has a supplement K in G such that H permutes with every Sylow subgroup of K. A finite group G is called an SST-group if SS-permutability is a transitive relation on the set of all subgroups of G. The structure of SST-groups is investigated in this paper.
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页码:466 / 479
页数:13
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