On automorphisms groups of cyclic p-gonal Riemann surfaces

In this work we obtain the group of conformal and anticonformal automorphisms of real cyclic p  -gonal Riemann surfaces, where p⩾3p⩾3 is a prime integer and the genus of the surfaces is at least (p−1)2+1(p−1)2+1. We use Fuchsian and NEC groups, and cohomology of finite groups.