Radial functions on free groups and a decomposition of the regular representation into irreducible components.
In the group theory various representations of free groups are used. A representation of a free group of rank two by the so-calledtime-varying Mealy automata over the changing alphabet is given. Two different constructions of such automata are presented.
In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.