Full paper in PDF:
$%G. Gromadzki, Metabelian groups acting on compact Riemann surfaces, Rev. Mat. Univ. Complut. Madrid 8 (1995), no. 2, 293–305.%$

Metabelian Groups Acting on Compact Riemann Surfaces
Grzegorz GROMADZKI
Instytut Matematyki WSP
Chodkiewicza 30
85-064 Bydgoszcz — Poland

Received: June 8, 1994
Revised: September 14, 1994
ABSTRACT

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 .