%0 Journal Article
%T Pattern closure of groups of tree automorphisms
%A Zoran  uni
%J Bulletin of Mathematical Sciences
%@ 1664-3615
%D 2011
%I Springer
%R 10.1007/s13373-011-0007-2
%X It is shown that every group of automorphisms of a regular rooted tree that is defined by forbidding a set of patterns of size s + 1 is the topological closure of a self-similar, countable, regular branch group, branching over its level s stabilizer. As an application, it is shown that there are no infinite, finitely constrained, topologically finitely generated groups of binary tree automorphisms defined by forbidden patterns of size two.
%K Closed self-similar groups
%K Finitely constrained groups
%K Patterns on trees
%K Compact groups
%K 20E08
%K 22C05
%K 37B10
%U http://link.springer.com/article/10.1007/s13373-011-0007-2