33 citations · 33 across the 5 of their papers we have counts for
8 papers · 1 filter
Classification of groups generated by 3-state automata over a 2-letter alphabet
Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko +4
This article contains most of the known results on the classification of groups generated by 3-state automata over a 2-letter alphabet, extending the previous papers 0704.3876 and…
Schreier spectrum of the Hanoi Towers group on three pegs
Rostislav Grigorchuk, Zoran Sunic
Finite dimensional representations of the Hanoi Towers group are used to calculate the spectra of the finite graphs associated to the Hanoi Towers Game on three pegs (the group ser…
Homomorphic images of Branch groups, and Serre's property (FA)
Thomas Delzant, Rostislav Grigorchuk
It is shown that a finitely generated branch group has Serre's property (FA) if and only if it does not surject onto the infinite cyclic group or the infinite dihedral group. An ex…
Groups generated by 3-state automata over a 2-letter alphabet, II
Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko +4
Classification of groups generated by 3-state automata over a 2-letter alphabet started in the first paper (see http://www.arxiv.org/abs/math/0612178) is continued.
The Spectral Problem, Substitutions and Iterated Monodromy
Rostislav Grigorchuk, Dmytro Savchuk, Zoran Sunic
We provide a self-similar measure for the self-similar group acting faithfully on the binary rooted tree, defined as the iterated monodromy group of the quadratic polynomial $z…
Groups generated by 3-state automata over a 2-letter alphabet, I
Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko +4
An approach to a classification of groups generated by 3-state automata over a 2-letter alphabet and the current progress in this direction are presented. Several results related t…