arXiv:1712.01052 Abstract | arXiv Analytics

arXiv:1712.01052 [math.GR]Abstract References Reviews Resources

Finitary approximations of groups and their applications

Published 2017-12-04Version 1

In these notes we will survey recent results on various finitary approximation properties of infinite groups. We will discuss various restrictions on groups that are approximated for example by finite solvable groups or finite-dimensional unitary groups with the Frobenius metric. Towards the end, we also briefly discuss various applications of those approximation properties to the understanding of the equational theory of a group.

Comments: 20 pages, no figures, submitted to Proceedings of the ICM 2018

Categories: math.GR

Keywords: applications, finitary approximation properties, finite-dimensional unitary groups, finite solvable groups, infinite groups

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