Generating lamplighter groups with bireversible automata

יום ד', 17/10/2018 - 11:00
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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 ring and the power series which make automata bireversible. 

This is a joint work with Benjamin Steinberg.