A note on finite groups in which c-permutability is transitive

被引：1

作者：

Al-Sharo, K. A. ^{[2
]}

Suleiman, I. A. I. ^{[1
]}

机构：

[1] Mutah Univ, Dept Math & Stat, Al Karak, Jordan

[2] AL al Bayt Univ, Dept Math, Mafraq, Jordan

来源：

ACTA MATHEMATICA HUNGARICA | 2012年 / 134卷 / 1-2期

关键词：

permutable; c-permutable subgroup; PT-group; finite solvable group;

D O I：

10.1007/s10474-011-0132-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of G is c-permutable in G if there exists a permutable subgroup P of G such that HP=G and Ha (c) Pa parts per thousand broken vertical bar H (pG) , where H (pG) is the largest permutable subgroup of G contained in H. A group G is called CPT-group if c-permutability is transitive in G. A number of new characterizations of finite solvable CPT-groups are given.

引用

页码：162 / 168

页数：7

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