Séminaire de Géométrie, Groupes et Dynamique

Rachel Skipper: "Generating lamplighter groups with bireversible automata""

Europe/Paris
435 (UMPA)

435

UMPA

Description

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.