On the asynchronous rational group

James Belk; James Hyde; Francesco Matucci

doi:10.4171/ggd/523

JournalsggdVol. 13, No. 4pp. 1271–1284

On the asynchronous rational group

James Belk
University of St Andrews, Scotland, UK
James Hyde
Cornell University, Ithaca, USA
Francesco Matucci
Università degli Studi di Milano-Bicocca, Italy
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Abstract

We prove that the asynchronous rational group defined by Grigorchuk, Nekrashevych, and Sushchanskii is simple and not finitely generated. Our proofs also apply to certain subgroups of the asynchronous rational group, such as the group of all rational bilipschitz homeomorphisms.

Cite this article

James Belk, James Hyde, Francesco Matucci, On the asynchronous rational group. Groups Geom. Dyn. 13 (2019), no. 4, pp. 1271–1284

DOI 10.4171/GGD/523