Conditional permutability of subgroups and certain classes of groups

JOURNAL OF ALGEBRA

卷:476

Article

Arroyo-Jorda, M.¹  Arroyo-Jorda, P.¹ 

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

关键词: Finite groups;    Products of subgroups;    Conditional permutability;    Classes of groups;   

DOI  :  10.1016/j.jalgebra.2016.12.020

来源: Elsevier

【 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.

【 授权许可】

Free