A metabelian group G acting as automorphism group on a compact Riemann surface of genus g ≥ 2 has order less than or equal to 16(g-1). We calculate for which values of g this bound is achieved and on these cases we calculate a presentation of the group G.
@article{urn:eudml:doc:44198, title = {Metabelian groups acting on compact Riemann surfaces.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {8}, year = {1995}, pages = {293-305}, zbl = {0860.30038}, mrnumber = {MR1367932}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44198} }
Gromadzki, G. Metabelian groups acting on compact Riemann surfaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 8 (1995) pp. 293-305. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44198/