Properties of Linearly Sofic Groups

2013/09/30 by Abel Stolz, Stolz, Abel
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1309.7830

20 pages

arxiv created 2013/09/30 · arxiv updated 2013/10/01

Abstract

We consider (projectively) linearly sofic groups, i.e. groups which can be approximated using (projective) matrices over arbitrary fields, as a generalization of sofic groups. We generalize known results for sofic groups and groups which can be approximated with complex matrices, including the fact that free products of linearly sofic groups (using a fixed field) are linearly sofic.

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