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

共 50 条

[21] On weakly SS-permutable subgroups of a finite group
He, Xuanli
Li, Yangming
Wang, Yanming
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 77 (1-2): : 65 - 77
[22] THE INFLUENCE OF WEAKLY CLOSED SUBGROUPS ON THE SUPERSOLVABILITY OF A FINITE GROUP
Zhao, Tao
Xue, Ling
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2022, 55 : 1 - 7
[23] A question on weakly H-subgroups of a finite group
Gao, Jinxin
Guo, Xiuyun
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (08)
[24] Traces on group C*-algebras, sofic groups and Luck's conjecture
Balci, Gul
Skandalis, Georges
EXPOSITIONES MATHEMATICAE, 2016, 34 (04) : 353 - 363
[25] Positive Sofic Entropy Implies Finite Stabilizer
Meyerovitch, Tom
Entropy, 2016, 18 (07):
[26] Sofic measure entropy via finite partitions
Kerr, David
GROUPS GEOMETRY AND DYNAMICS, 2013, 7 (03) : 617 - 632
[27] Hydra group doubles are not residually finite
Pueschel, Kristen
GROUPS COMPLEXITY CRYPTOLOGY, 2016, 8 (02) : 163 - 170
[28] Residually finite quantum group algebras
Chirvasitu, Alexandru
JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (11) : 3508 - 3533
[29] A SOFIC SYSTEM WHICH IS NOT SPECTRALLY OF FINITE-TYPE
WILLIAMS, S
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1988, 8 : 483 - 490
[30] Sofic and Almost of Finite Type Tree-Shifts
Aubrun, Nathalie
Beal, Marie-Pierre
COMPUTER SCIENCE - THEORY AND APPLICATIONS, 2010, 6072 : 12 - 24

← 1 2 3 4 5 →