Full paper in PDF:
$%G. Gromadzki, Metabelian groups acting on compact Riemann surfaces,
Rev. Mat. Univ. Complut. Madrid 8 (1995), no. 2, 293–305.%$
A metabelian group
acting as automorphism group on a compact Riemann
surface of genus
has order less than or equal to
. We calculate
for which values of
this bound is achieved and on these cases we calculate a
presentation of the group
.