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
On the asynchronous rational group cover

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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