The Klein bottle group is not strongly verbally closed, though awfully close to being so

被引：3

作者：

Klyachko, Anton A. ^{[1
]}

机构：

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

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2021年 / 64卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Verbally closed subgroups; surface groups;

D O I：

10.4153/S0008439520000582

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

According to Mazhuga's theorem, the fundamental group H of any connected surface, possibly except for the Klein bottle, is a retract of each finitely generated group containing H as a verbally closed subgroup. We prove that the Klein bottle group is indeed an exception but has a very close property.

引用

页码：491 / 497

页数：7

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