13 citations · 14 across the 7 of their papers we have counts for
16 papers
Stallings foldings for rational subsets of automatic groups
Lucía Asencio-Martín, John R. Britnell, Andrew Duncan +2
Let be an automatic group with associated regular language . We describe a procedure for constructing an automaton which recognises elements of a given submonoid or rational…
Bireversible automata generating lamplighter groups
Dominik Francoeur
For every non-trivial finite abelian group , we exhibit a bireversible automaton generating the lamplighter group .
On quasi-2-transitive actions of branch groups
Dominik Francoeur
An action of a group on a set is said to be quasi-n-transitive if the diagonal action of on has only finitely many orbits. We show that branch groups, a special c…
Subgroup induction property for branch groups
Dominik Francoeur, Paul-Henry Leemann
The subgroup induction property is a property of self-similar groups acting on rooted trees introduced by Grigorchuk and Wilson in 2003 that appears to have strong implications on…
On the Orbits of Automaton Semigroups and Groups
Daniele D'Angeli, Dominik Francoeur, Emanuele Rodaro +1
We investigate the orbits of automaton semigroups and groups to obtain algorithmic and structural results, both for general automata but also for some special subclasses. First, we…
On the stabilisers of points in groups with micro-supported actions
Dominik Francoeur
Given a group of homeomorphism of a first-countable Hausdorff space , we prove that if the action of on is minimal and has rigid stabilisers that…