Characterization of sofic groups and equations over groups
Group Theory
2015-06-25 v4
Abstract
We give the following characterization of sofic (weakly sofic) groups: a group is sofic (weakly sofic) if and only if any system of equations solvable in any alternating group (any finite group) is solvable over .
Keywords
Cite
@article{arxiv.1405.7329,
title = {Characterization of sofic groups and equations over groups},
author = {Lev Glebsky},
journal= {arXiv preprint arXiv:1405.7329},
year = {2015}
}
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This paper has been withdrawn by the author due to all its results are in 1506.06940.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