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.
Articolo in rivista - Articolo scientifico
Asynchronous automata; Automaton groups; Finite generation; Simple groups
English
2019
13
4
1271
1284
open
Belk, J., Hyde, J., Matucci, F. (2019). On the asynchronous rational group. GROUPS, GEOMETRY, AND DYNAMICS, 13(4), 1271-1284 [10.4171/GGD/523].
File in questo prodotto:
File Dimensione Formato  
Asynchronous Rational Group - Revisions GGD.pdf

accesso aperto

Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Dimensione 315.4 kB
Formato Adobe PDF
315.4 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/261864
Citazioni
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
Social impact