33 citations · 87 across the 16 of their papers we have counts for
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math.GR2014
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…
math.GR2014★ 2 cited
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…
math.GR2014
Self-similar groups and the zig-zag and replacement products of graphs
Ievgen Bondarenko
Every finitely generated self-similar group naturally produces an infinite sequence of finite -regular graphs . We construct self-similar groups, whose graphs can be…