Sofic groups and profinite topology on free groups
Group Theory
2008-09-09 v2
Abstract
We give a definition of weakly sofic groups (w-sofic groups). Our definition is rather natural extension of the definition of sofic groups where instead of 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.
Cite
@article{arxiv.0709.0026,
title = {Sofic groups and profinite topology on free groups},
author = {Lev Glebsky and Luis Manuel Rivera Martinez},
journal= {arXiv preprint arXiv:0709.0026},
year = {2008}
}
Comments
5 pages, 1 figure. We extend the exposition. We hope it is better now. In greate part it is due to anonimous referee work. The results are the same as in previous version