Séminaire Gaston Darboux :

Le 18 janvier 2019 à 11:15 - salle 430

Présentée par Skipper Rachel - Univ. Goettingen

Generating lamplighter groups with bireversible automata

We use the language of formal power series to construct finite state automata generating groups of the form A \wr Z, where A is the additive group of a finite commutative ring and Z is the integers. We then provide conditions on the units of the ring and the power series which make automata bireversible. This is a joint work with Benjamin Steinberg.