We prove that the asynchronous rational group defined by Grigorchuk, Nekrashevych, and Sushchanskiĭ 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.
Belk, J., Hyde, J., Matucci, F. (2019). On the asynchronous rational group. GROUPS, GEOMETRY, AND DYNAMICS, 13(4), 1271-1284 [10.4171/GGD/523].
On the asynchronous rational group
Matucci F.
Co-primo
2019
Abstract
We prove that the asynchronous rational group defined by Grigorchuk, Nekrashevych, and Sushchanskiĭ 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.
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