Odribets' N. Verbal structure of the automorphism groups of 2-adic tree

It is proved, that every verbal subgroups of the automorphism group of 2-adic tree is a member of a lower central series of the group. The parallelotopic characteristics of classic verbal subgroups of such a group is described. The width of every member of a lower central series and every member of commutant series of the automorphism group of 2-adic tree is equal to 1. With respect to power series the verbal subgroup the width depends on divisibility power by 2. If power is divisible by 2 then the powered subgroups width is equal to 2. Otherwise the width is equal to 1. All statements about the verbal subgroups width remain true for the full automorphism group of 2-adic tree.