We extend results on transitive self-similar abelian subgroups of the group automorphisms $\mathcal{A}\_m$ an $m$-ary tree $\mathcal{T}\_m$ by Brunner and Sidki to general case where permutation induced first level tree, has $s\geq 1$ orbits. prove that such a $A$ embeds in $A^$ which is also maximal subgroup $\mathcal{A}\_m$. The construction $A^{}$ based definition free monoid $\Delta$ rank $...