Séminaire de Géométrie, Groupes et Dynamique
Rachel Skipper: "Generating lamplighter groups with bireversible automata""
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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.