Sofic groups and profinite topology on free groups

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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.
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

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Group Theory, 20E26; 20E18

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http://salesiana.dossiersoluciones.com/handle/123456789/168443

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.0026
 http://arxiv.org/abs/0709.0026

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arXiv