8 citations · 35 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Up to a double cover, every regular connected graph is isomorphic to a Schreier graph
Paul-Henry Leemann
We prove that every connected locally finite regular graph has a double cover which is isomorphic to a Schreier graph.
Cayley graphs with few automorphisms: the case of infinite groups
Paul-Henry Leemann, Mikael de la Salle
We characterize the finitely generated groups that admit a Cayley graph whose only automorphisms are the translations, confirming a conjecture by Watkins from 1976. The proof relie…
Finitely generated subgroups of branch groups and subdirect products of just infinite groups
Rostistlav Grigorchuk, Paul-Henry Leemann, Tatiana Nagnibeda
The aim of this paper is to describe the structure of the finitely generated subgroups of a family of branch groups, which includes the first Grigorchuk group and the Gupta-Sidki 3…