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.
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页码：1097 / 1104
页数：8
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