Graph Automaton Groups

Abstract: In this talk I will review some basic and interesting properties of automaton groups, i.e. groups generated by the action of a transducer on a finite alphabet. Then I will explain a new construction (introduced in collaboration with M. Cavaleri, A. Donno and E. Rodaro) to obtain automaton groups starting from finite graphs. This class of "Graph Automaton groups" contains classic examples of automaton groups and other groups exhibiting interesting combinatorial and spectral properties.

group theory

Audience: researchers in the topic

GOThIC - Ischia Online Group Theory Conference

Series comments: Please send a message to andrea.caranti@unitn.it to receive a link to the Zoom room where the conference (a series of talks, actually) takes place.