Sofic groups and profinite topology on free groups

被引：21

作者：

Glebsky, Lev ^{[1
]}

Manuel Rivera, Luis ^{[1
]}

机构：

[1] IICO UASLP, San Luis Potosi 7820, Mexico

来源：

JOURNAL OF ALGEBRA | 2008年 / 320卷 / 09期

关键词：

Sofic groups; Profinite topology; Conjugacy classes; Free groups;

D O I：

10.1016/j.jalgebra.2008.08.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a definition of weakly sofic groups (w-sofic groups). Our definition is a rather natural extension of the definition of sofic groups where instead of the Hamming metric on symmetric groups we use general bi-invariant metrics on finite groups. The existence of non-w-sofic groups is equivalent to some conjecture about profinite topology on free groups. (C) 2008 Elsevier Inc. All rights reserved.

引用

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页码：3512 / 3518

页数：7

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