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math.GR2026
Thue-Morse sequence and groups of intermediate growth
Rostislav Grigorchuk, Yaroslav Vorobets
We consider the substitution subshift generated by the Thue-Morse substitution , . We prove that the topological full group of the subshift contains a subgroup of i…
math.GR2024
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.GR2006★ 2 cited
Automata over a binary alphabet generating free groups of even rank
Benjamin Steinberg, Mariya Vorobets, Yaroslav Vorobets
We construct automata over a binary alphabet with states, , whose states freely generate a free group of rank . Combined with previous work, this shows that a fre…