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arXiv · 1405.7329

Characterization of sofic groups and equations over groups

Lev Glebsky
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Abstract

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 $G$.

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Lev Glebsky. 2014-05-28. Characterization of sofic groups and equations over groups. https://arxiv.org/abs/1405.7329

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