We give two generalizations of the well-known construction of Gupta - Sidki infinite 2-generated periodic groups acting by automorphisms on an homogeneous rooted tree. Infinite series of pairwise non-isomorphic groups of such a type are constructed in some continuum family of subgroups of the automorphism group of such a tree. For groups of this family, the conditions for their infinity, periodicity, and for them to be the groups of finite state automorphisms are found.

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