20E08 19 20F65 6 20F28 4 automaton group 4 rooted tree 4 20B35 3 20E22 3 20F50 3 group automorphisms 3 local isometry 3 wreath product 3 20E06 2 20E26 2 automorphism of rooted tree 2 branch groups 2 diagonal embedding 2 direct limit 2 finite automaton 2 groups of intermediate growth 2 homogeneous symmetric group 2 self-similar groups 2 1 05C05 1 05C25,43A85 1 11B85 1 16S34 1 2-generator groups 1 2-points homogeneous action,Gelfand pairs 1 20B07 1 20B22 1