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/