arXiv subjects

Abel Stolz

Publications and source records attributed to Abel Stolz.

2 recordsLinked to original sources

arXiv2013

Properties of Linearly Sofic Groups

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.

math.GR↗

arXiv2013

On the lattice of normal subgroups in ultraproducts of compact simple groups

We prove that the lattice of normal subgroups of ultraproducts of compact simple non-abelian groups is distributive. In the case of ultraproducts of finite simple groups or compact connected simple Lie groups of bounded rank the set of normal subgroups is shown to be linearly ordered by inclusion.

math.GR↗