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arXiv:1405.7329 [math.GR]AbstractReferencesReviewsResources

Characterization of sofic groups and equations over groups

Lev Glebsky

Published 2014-05-28, updated 2015-06-24Version 4

We give the following characterization of sofic (weakly sofic) groups: a group $G$ is sofic (weakly sofic) if and only if any system of equations solvable in any alternating group (any finite group) is solvable over $G$.

Comments: This paper has been withdrawn by the author due to all its results are in 1506.06940. The paper 1506.06940 contains more general and clearly written results
Categories: math.GR
Subjects: 20E26, 20E18
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