Extensions of automorphisms of self-similar groups

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Matucci, F (Author) Other; Pedro V. Silva (Author) FCUP

Journal

Title: Journal of Group Theory

Vol. 24

Pages: 857-897

ISSN: 1433-5883

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 6 Citations

Other information

Authenticus ID: P-00T-NQN

DOI: 10.1515/jgth-2020-0034

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 41