Extensions of a residually finite group by a weakly sofic group are weakly sofic

被引：0

作者：

Glebsky, Lev ^{[1
]}

机构：

[1] Univ Autonoma San Luis Potosi, Inst Invest Comunicac Opt, Ave Karakorum 1470,Lomas 4a, San Luis Potosi 78210, Mexico

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2023年 / 39卷 / 03期

关键词：

Weakly sofic groups; group extension;

D O I：

10.4171/RMI/1368

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that residually-finite-by-weakly-sofic extensions are weakly sofic. More precisely, we show that if in an exact sequence of groups 1 ! N ,! K-* G ! 1 the group G is residually finite and N is weakly sofic, then K is weakly sofic.

引用

页码：1097 / 1104

页数：8

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