33 citations · 87 across the 16 of their papers we have counts for
19 papers
On Orbits and the Finiteness of Bounded Automaton Groups
Ievgen Bondarenko, Jan Philipp Wächter
We devise an algorithm which, given a bounded automaton A, decides whether the group generated by A is finite. The solution comes from a description of the infinite sequences havin…
Automaton groups and complete square complexes
Ievgen Bondarenko, Bohdan Kivva
The first example of a non-residually finite group in the classes of finitely presented small-cancelation groups, automatic groups, and CAT(0) groups was constructed by Wise as the…
Ends of Schreier graphs and cut-points of limit spaces of self-similar groups
Ievgen Bondarenko, Daniele D'Angeli, Tatiana Nagnibeda
Every self-similar group acts on the space of infinite words over some alphabet . We study the Schreier graphs for of the action of self-similar groups ge…
The lamplighter group generated by a bireversible automaton
I. Bondarenko, D. D'Angeli, E. Rodaro
We construct a bireversible self-dual automaton with states over an alphabet with letters which generates the lamplighter group .
On finite generation of self-similar groups of finite type
Ievgen V. Bondarenko, Igor O. Samoilovych
A self-similar group of finite type is the profinite group of all automorphisms of a regular rooted tree that locally around every vertex act as elements of a given finite group of…
The word problem in Hanoi Towers groups
Ievgen Bondarenko
We prove that elements of the Hanoi Towers groups have depth bounded from above by a poly-logarithmic function , where is the length of an elem…