The Finiteness Problem for Automaton Semigroups of Extended Bounded
Activity
The Finiteness Problem for Automaton Semigroups of Extended Bounded
Activity
We extend the notion of activity for automaton semigroups and monoids introduced by Bartholdi, Godin, Klimann and Picantin to a more general setting. Their activity notion was already a generalization of Sidki's activity hierarchy for automaton groups. Using the concept of expandability introduced earlier by the current authors, we show …