8 citations · 35 across the 15 of their papers we have counts for
10 papers · 1 filter
Non-closed subgroups of weakly branch groups
Jorge Fariña-Asategui, Paul-Henry Leemann, Tatiana Nagnibeda
For a weakly branch group acting on a regular enough rooted tree, we provide two constructions of continuous families of distinct subgroups that are not closed in the profinite…
On the structure of finitely generated subgroups of branch groups
Dominik Francoeur, Rostislav Grigorchuk, Paul-Henry Leemann +1
We describe the block structure of finitely generated subgroups of branch groups with the so-called subgroup induction property, including the first Grigorchuk group …
Most rigid representation and Cayley index of finitely generated groups
Paul-Henry Leemann, Mikael de la Salle
If is a group and a generating set, canonically embeds into the automorphism group of its Cayley graph and it is natural to try to minimize, over all generating sets, t…
Wreath products of groups acting with bounded orbits
Paul-Henry Leemann, Grégoire Schneeberger
If is a subcategory of metric spaces, we say that a group G has property if any isometric action on an -space has bounded orbits. Examples of…
Property FW and wreath products of groups: a simple approach using Schreier graphs
Paul-Henry Leemann, Grégoire Schneeberger
The group property FW stands in-between the celebrated Kazdhan's property (T) and Serre's property FA. Among many characterizations, it might be defined, for finitely generated gro…
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…
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…
Weakly maximal subgroups of branch groups
Paul-Henry Leemann
Let be a branch group acting by automorphisms on a rooted tree . Stabilizers of infinite rays in are examples of weakly maximal subgroups of (subgroups that are maxi…
Weakly maximal subgroups in regular branch groups
Khalid Bou-Rabee, Paul-Henry Leemann, Tatiana Nagnibeda
Let be a finitely generated regular branch group acting by automorphisms on a regular rooted tree . It is well-known that stabilizers of infinite rays in (aka parabolic…