Resumen de On conjugacy of p-gonal automorphisms of Riemann surfaces

Grzegorz Gromadzki

• The classical Castelnuovo-Severi theorem implies that for , a -gonal automorphism group of a cyclic -gonal Riemann surface of genus is unique. Here we deal with the case ; we give a new and short proof of a result of González-Diez that a cyclic -gonal Riemann surface of such genus has one conjugacy class of -gonal automorphism groups in the group of automorphisms of .