I. Bondarenko

activity

20062019

most citedClassification of groups generated by 3-state automata over a 2-letter alphabet

33 citations · 87 across the 16 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.GR2011★ 2 cited

On a family of Schreier graphs of intermediate growth associated with a self-similar group

Ievgen Bondarenko, Tullio Ceccherini-Silberstein, Alfredo Donno +1

For every infinite sequence $ω = x_{1}, x_{2}, ...$ , with $x_{i} \in {0, 1}$ , we construct an infinite 4-regular graph $X_{ω}$ . These graphs are precisely the Schreier graphs of the action of a…

math.GR2011

Finite-state self-similar actions of nilpotent groups

Ievgen Bondarenko, Rostyslav Kravchenko

Let $G$ be a finitely generated torsion-free nilpotent group and $ϕ : H \to G$ be a surjective homomorphism from a subgroup $H < G$ of finite index with trivial $ϕ$ -core. For ev…

math.GR2011★ 1 cited

Growth of Schreier graphs of automaton groups

Ievgen Bondarenko

Every automaton group naturally acts on the space $X^{ω}$ of infinite sequences over some alphabet $X$ . For every $w \in X^{ω}$ we consider the Schreier graph $Γ_{w}$ of the action of the…