4 papers · 1 filter
A graph-theoretical characterisation of subgroups of Thompson's group
Corentin Bodart, Daniele D'Angeli, Davide Perego +1
We prove a graph-theoretical characterisation of finitely generated subgroups of Thompson's group : a finitely generated group embeds in if and only if it admits a faithful…
On the ET0L subgroup membership problem in bounded automata groups
Alex Bishop, Daniele D'Angeli, Francesco Matucci +3
We are interested in the subgroup membership problem in groups acting on rooted -regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from…
Context-free graphs and their transition groups
Daniele D'Angeli, Francesco Matucci, Davide Perego +1
Starting from context-free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their co-word proble…
Freeness Obstructions for Self-Similar Groups Acting on Rooted Trees
Daniele D'Angeli, Emanuele Rodaro
We prove two general obstructions to freeness for self-similar groups and derive consequences for automaton groups. First, let be a finite invertible Mealy automaton w…