Extensions of automorphisms of self-similar groups

Autor(es)

Matucci, Francesco ^[1] ; Silva, V, Pedro

Afiliação do(s) autor(es)

^[1] Univ Milano Bicocca, Off 3043, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan - Italy

• Tipo de documento: Artigo Científico
• Fonte: Journal of Group Theory; v. 24, n. 5, p. 857-897, SEP 2021.
• Citações Web of Science: 0

Resumo

In this work, we study automorphisms of synchronous self-similar groups and the existence of extensions to continuous automorphisms over the closure of these groups with respect to the depth metric. We obtain conditions for the continuity of such extensions, but we also construct examples of groups where such extensions do not exist. We study in detail the case of the lamplighter group L-k = Z(k) (sic) Z. (AU)

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