Seminario Teoría de grupos 27/01


11:30 Aula Naranja ICMAT

Speaker: Dominik Francoeur

Title: On some properties of groups generated by bireversible automata

Abstract: Automata are a powerful tool to construct groups with interesting and unusual properties. It seems natural to ask how the properties of an automaton are reflected in the properties of the group it generates. In this talk, we will be interested in a special class of automata known as bireversible. Groups generated by such automata remain elusive, and very few examples are known. We will investigate some of their properties, thus yielding restrictions on the groups that can be generated by such automata. Notably, we will obtain information of the distortion of cyclic subgroups of these groups.