33 citations · 97 across the 33 of their papers we have counts for
4 papers · 2 filters
Pattern closure of groups of tree automorphisms
Zoran Sunic
It is shown that a group defined by forbidding all patterns of size s+1 that do not appear in a given self-similar group of tree automorphisms is the topological closure of a self-…
The conjugacy problem in automaton groups is not solvable
Zoran Sunic, Enric Ventura
(Free-abelian)-by-free, self-similar groups generated by finite self-similar sets of tree automorphisms and having unsolvable conjugacy problem are constructed. Along the way, orbi…
On groups whose geodesic growth is polynomial
Martin Bridson, Jose Burillo, Murray Elder +1
This note records some observations concerning geodesic growth functions. If a nilpotent group is not virtually cyclic then it has exponential geodesic growth with respect to all f…
Finite self-similar p-groups with abelian first level stabilizers
Zoran Sunic
We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if an…