Finite and nilpotent strongly verbally closed groups

被引：2

作者：

Klyachko, Anton A. ^{[1
,2
]}

Miroshnichenko, Veronika Yu ^{[1
]}

Olshanskii, Alexander Yu ^{[1
,2
,3
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, MSU, Moscow 119991, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow, Russia

[3] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 09期

基金：

俄罗斯科学基金会;

关键词：

Verbally closed subgroups; retracts of groups; equations in groups; SUBGROUPS; RETRACTS;

D O I：

10.1142/S0219498823501888

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show, in particular, that, if a finite group H is a retract of any finite group containing H as a verbally closed subgroup, then the centre of H is a direct factor of H.

引用

页数：19

共 25 条

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