English

On the asynchronous rational group

Group Theory 2017-11-07 v1

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.

Keywords

Cite

@article{arxiv.1711.01668,
  title  = {On the asynchronous rational group},
  author = {James Belk and Francesco Matucci and James Hyde},
  journal= {arXiv preprint arXiv:1711.01668},
  year   = {2017}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-22T22:36:37.801Z