Sofic groups and profinite topology on free groups

JOURNAL OF ALGEBRA

卷:320

Article

Glebsky, Lev¹  Manuel Rivera, Luis¹ 

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

关键词: Sofic groups;    Profinite topology;    Conjugacy classes;    Free groups;   

DOI  :  10.1016/j.jalgebra.2008.08.008

来源: Elsevier

【 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.

【 授权许可】

Free