On the asynchronous rational group

Autor(es)

Belk, James ^[1] ; Hyde, James ^[2] ; Matucci, Francesco ^[3]

Afiliação do(s) autor(es)

^[1] Univ St Andrews, Sch Math & Stat, Math Inst, St Andrews KY16 9SS, Fife - Scotland

^[2] Cornell Univ, Dept Math, 310 Malott Hall, Ithaca, NY 14853 - USA

^[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Edificio U5, Via Roberto Cozzi 55, I-20125 Milan - Italy

• Tipo de documento: Artigo Científico
• Fonte: Groups Geometry and Dynamics; v. 13, n. 4, p. 1271-1284, 2019.
• Citações Web of Science: 0

Resumo

We prove that the asynchronous rational group defined by Grigorchuk, Nekrashevych, and Sushchanski.i 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. (AU)

• Processo FAPESP: 16/12196-5 - Algoritmos e classificação em grupos
• Beneficiário: Francesco Matucci
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores