On finite products of groups and supersolubility

被引：16

作者：

Arroyo-Jorda, M. ^{[2
]}

Arroyo-Jorda, P. ^{[2
]}

Martinez-Pastor, A. ^{[1
]}

Perez-Ramos, M. D. ^{[3
]}

机构：

[1] Univ Politecn Valencia, Escuela Tecn Super Ingn Informat, IUMPA, Valencia 46022, Spain

[2] Univ Politecn Valencia, Escuela Tecn Super Ingenieros Ind, IUMPA, Valencia 46022, Spain

[3] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 10期

关键词：

Finite groups; Supersoluble groups; Products of subgroups; Conditional permutability; TOTALLY PERMUTABLE GROUPS; SUBGROUPS; CRITERIA;

D O I：

10.1016/j.jalgebra.2010.01.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y-g for some element g E G. i.e., XYg is a subgroup of G. Using this permutability property new criteria for the product of finite supersoluble groups to be supersoluble are obtained and previous results are recovered. Also the behaviour of the supersoluble residual in products of finite groups is studied. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2922 / 2934

页数：13

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