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Constructing simple groups using dynamical systems

Published in Centre International de Rencontres Mathématiques • Jan 1, 2019
NobleIDNI5P26W84R33S53
Authors:
Volodymyr Nekrashevych

Abstract

We will show how minimal dynamical systems and etale groupoids can be used to construct finitely generated simple groups with prescribed properties. For example, one can show that there are uncountably many different growth types (in particular quasi-isometry classes) among finitely generated simple...

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