CYCLIC SUBGROUPS IN THE CHARACTER GROUP
V. V. Chueshev began building the general theory of multiplicative functions and Prym differentials on compact Riemann surfaces for arbitrary characters. The paper provides an explicite description of cyclic subgroups in the characters group for compact Riemann surfaces of the genus. This description allows acquiring new applications in the theory of multiplicative functions, Prym differentials and in the theory of multiplicative Weierstrass points on such surfaces.