Conditional permutability of subgroups and certain classes of groups

被引：6

作者：

Arroyo-Jorda, M. ^{[1
]}

Arroyo-Jorda, P. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Escula Tecn Super Ingn Ind, IUMPA UPV, Camino Vera S-N, E-46022 Valencia, Spain

来源：

JOURNAL OF ALGEBRA | 2017年 / 476卷

关键词：

Finite groups; Products of subgroups; Conditional permutability; Classes of groups; FINITE-GROUPS; SUPERSOLUBLE GROUPS; FITTING-CLASSES; PRODUCTS; CRITERIA; RADICALS;

D O I：

10.1016/j.jalgebra.2016.12.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two subgroups A and B of a finite group G are said to be tcc-permutable if X permutes with Y for some g epsilon (X, Y), for all X <= A and all Y <= B. Some aspects about the normal structure of a product of two tcc-permutable subgroups are analyzed. The obtained results allow to study the behaviour of such products in relation with certain classes of groups, namely the class of T-groups and some generalizations. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：395 / 414

页数：20

共 37 条

[1] Permutable products of supersoluble groups [J].