On R-conjugate-permutability of sylow subgroups

被引：0

作者：

Xianhe Zhao

Ruifang Chen

机构：

[1] Henan Normal University,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Sciences

来源：

Czechoslovak Mathematical Journal | 2016年 / 66卷

关键词：

-conjugate-permutable subgroup; nilpotent group; quasinilpotent group; Sylow subgroup; 20D10; 20D20;

D O I：

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学科分类号：

摘要：

A subgroup H of a finite group G is said to be conjugate-permutable if HHg = HgH for all g ∈ G. More generaly, if we limit the element g to a subgroup R of G, then we say that the subgroup H is R-conjugate-permutable. By means of the R-conjugatepermutable subgroups, we investigate the relationship between the nilpotence of G and the R-conjugate-permutability of the Sylow subgroups of A and B under the condition that G = AB, where A and B are subgroups of G. Some results known in the literature are improved and generalized in the paper.

引用

页码：111 / 117

页数：6