3 papers
math.GR2025
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…
math.GR2025
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 …
math.GR2025
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…