3 papers
math.GR2026
On maximal subgroups of ample groups
Rostislav Grigorchuk, Yaroslav Vorobets
The paper is concerned with maximal subgroups of the ample (better known as topological full) groups of homeomorphisms of totally disconnected compact metrizable topological spaces…
math.GR2025
Branch actions and the structure lattice
Jorge Fariña-Asategui, Rostislav Grigorchuk
J. S. Wilson proved in 1971 an isomorphism between the structural lattice associated to a group belonging to his second class of groups with every proper quotient finite and the Bo…
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 …