On the asynchronous rational group

2017/11/05 by Belk, James, Matucci, Francesco, Hyde, James
#20F05 #20F10 #20F65 (Primary) 20E32 #68Q70 (Secondary) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1711.01668

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.

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