rooted tree 20E08 7 20B35 4 20F28 4 20F50 4 diagonal embedding 4 direct limit 4 group automorphisms 4 homogeneous symmetric group 4 local isometry 4 finite automaton 3 05C05 2 20E06 2 20F65 2 20M18 2 20M20 2 Wreath product 2 finite inverse symmetric semigroup 2 free product 2 hierarchomorphism 2 hierarhomorphism 2 partial automorphism 2 tree automorphism 2 20E22 1 20E26 1 HNN extension 1 automaton group 1 automorphism of rooted tree 1 exponentiation 1 wreath product 1