Lavrenyuk Y. Level transitive automorphism groups of rooted trees

The dissertation is devoted to investigation of automorphism groups of level gomogeneous trees. The conjugacy classes of maximal size of the Sylow p-subgroup Pn of the full automorphism group of finite p-tree of height n and its normalizer in the automorphism group are characterized. Normal and characteristical subgroups in normalizer of subgroup Pn are described. The automorphism group of any wreath branch subgroup of automorphism group of level homogeneous tree are also described. In particular the automorphisms of the full automorphism group, its subgroup of finite state automorphisms and normalizer of the Pn are investigated.