Characterization of sofic groups and equations over groups

2014/05/28 by Lev Glebsky, Glebsky, Lev
Mathematics · #20E18 #20E26 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #msc:20E18 #msc:20E26

paper · pdf · doi:10.48550/arxiv.1405.7329

This paper has been withdrawn by the author due to all its results are in 1506.06940.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

openalex publication_date 2014/05/28 · arxiv created 2015/06/24 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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