Local characterizations of infinite groups whose ascendant subgroups are permutable

被引：5

作者：

Ballester-Bolinches, Adolfo ^{[1
]}

Kurdachenko, Leonid A. ^{[2
]}

Otal, Javier ^{[3
]}

Pedraza, Tatiana ^{[4
]}

机构：

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

[2] Natl Univ Dnepropetrovsk, Dept Algebra, UA-49010 Dnepropetrovsk, Ukraine

[3] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[4] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain

来源：

FORUM MATHEMATICUM | 2010年 / 22卷 / 01期

关键词：

FINITE-GROUPS; SUBNORMAL SUBGROUPS; TRANSITIVE RELATION;

D O I：

10.1515/FORUM.2010.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of a group G is said to be permutable in G, if HK = KH for every subgroup K of G. Every permutable subgroup is ascendant, but, in general, the converse is far from being true. In this paper we characterize some infinite groups whose ascendant subgroups are permutable in terms of their Sylow structure.

引用

页码：187 / 201

页数：15

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