$2022 - T2 - WS2 - Self-similarity of groups, trees and fractals$

Collection 2022 - T2 - WS2 - Self-similarity of groups, trees and fractals

Organizer(s) Erschler, Anna ; Leemann, Paul-Henry ; Nagnibeda, Tatiana ; Skipper, Rachel

Date(s) 30/05/2022 - 03/06/2022

linked URL https://indico.math.cnrs.fr/event/6576/

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On some properties of groups generated by bireversible automata

Among self-similar groups, groups generated by bireversible automata are particularly intriguing from the point of view of geometric group theory, since they have, among others, connections with CAT(0) square complexes and commensurators of free groups in the automorphism groups of regular trees. However, currently, they remain quite mysterious, since very few examples of such groups are known. In an effort to get a better grasp on the kind of groups that can or cannot be generated by bireversible automata, we will investigate some of their properties. In particular, we will discuss the distortion of their cyclic subgroups.

Information about the video

Date of recording 02/06/2022
Date of publication 04/05/2024
Institution IHP
Language English
Audience Researchers
Director(s) Marco Perez
Format MP4
Venue Amphitheater Hermite, IHP

Citation data

DOI 10.57987/IHP.2022.T2.WS2.004
Cite this video Francoeur, Dominik (02/06/2022). On some properties of groups generated by bireversible automata. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T2.WS2.004
URL https://dx.doi.org/10.57987/IHP.2022.T2.WS2.004