Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus

This paper is devoted to a study of special subgroups of automorphism
groups of Kronrod-Reeb graphs of Morse functions on 2-torus T2 which arise from
actions of diffeomorphisms preserving a given Morse function on T2 . In this paper
we give a full description of such classes of groups.