4 citations · 12 across the 7 of their papers we have counts for
5 papers · 1 filter
On an uncountable family of graphs whose spectrum is a Cantor set
Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno +1
For each , the star automaton group is an automaton group which can be defined starting from a star graph on vertices. We study Schreier graphs a…
Eraser morphisms and membership problem in groups and monoids
Daniele D'Angeli, Emanuele Rodaro, Pedro V. Silva +1
We develop the theory of fragile words by introducing the concept of eraser morphism and extending the concept to more general contexts such as (free) inverse monoids. We character…
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…
The lamplighter group generated by a bireversible automaton
I. Bondarenko, D. D'Angeli, E. Rodaro
We construct a bireversible self-dual automaton with states over an alphabet with letters which generates the lamplighter group .
Fixed points of endomorphisms of trace monoids
Pedro V. Silva, Emanuele Rodaro
It is proved that the fixed point submonoid and the periodic point submonoid of a trace monoid endomorphism are always finitely generated. Considering the Foata normal form metric…