Dominik Francoeur

activity

20232025

collaborators

3 papers

math.GR2025

On bireversible automata and commensurators of groups in automorphisms of their Cayley graphs

Dominik Francoeur

If $G$ is a finitely generated group and $X$ is a Cayley graph of $G$ , denote by $C_{1}^{X} (G)$ the subgroup of all automorphisms of $X$ commensurating $G$ and fixing the ver…

math.GR2024

On closure operations in the space of subgroups and applications

Dominik Francoeur, Adrien Le Boudec

We establish some interactions between uniformly recurrent subgroups (URSs) of a group $G$ and cosets topologies $τ_{N}$ on $G$ associated to a family $N$ of norm…

math.GR2023

Intersection-saturated groups without free subgroups

Dominik Francoeur

A group $G$ is said to be intersection-saturated if for every strictly positive integer $n$ and every map $c\colon \mathcal{P}(\{1,\dots, n\})\setminus \emptyset \rightarrow \{0,1\…