On the asynchronous rational group

Authors :: James Belk
Francesco Matucci
James Hyde
Belk, J
Hyde, J
Matucci, F
Publication Year :: 2017
Publisher :: arXiv, 2017.
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 rational group, such as the group of all rational bilipschitz homeomorphisms.<br />Comment: 12 pages, 3 figures