62 citations · 151 across the 11 of their papers we have counts for
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cs.FL2016
On level-transitivity and exponential growth
Ines Klimann
We prove that if the group generated by a Mealy automaton acts level-transitively on a regular rooted tree, then the semigroup generated by the dual automaton has exponential growt…
math.GR2016★ 3 cited
Boundary action of automaton groups without singular points and Wang tilings
D. D'Angeli, Th. Godin, I. Klimann +2
We study automaton groups without singular points, that is, points in the boundary for which the map that associates to each point its stabilizer, is not continuous. This is motiva…
cs.FL2016★ 4 cited
Connected reversible Mealy automata of prime size cannot generate infinite Burnside groups
Thibault Godin, Ines Klimann
The simplest example of an infinite Burnside group arises in the class of automaton groups. However there is no known example of such a group generated by a reversible Mealy automa…