Properties of Linearly Sofic Groups
Group Theory
2013-10-01 v1
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.
Cite
@article{arxiv.1309.7830,
title = {Properties of Linearly Sofic Groups},
author = {Abel Stolz},
journal= {arXiv preprint arXiv:1309.7830},
year = {2013}
}
Comments
20 pages