Singerman, David and Watson, Paul
Non-maximal cyclic group actions on compact Riemann surfaces
Revista Matemática de la Universidad Complutense de Madrid, 10, (2), .
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We say that a finite group G of automarphisms of a Riemann
surface X is non-maximal in genus y if (i) G acta as a group of
autamorphisnis of some compact Riemann surface Xg of genus g and (ii), for alí such surfaces Xg, | Aut Xg |>| G |. In this paper we investigate ihe case where G is a cylic group Cn of order n. If Cn acts on only finitely many surfaces of genus g, then we cornpletely solve the problem of flnding all such pairs (n, g).
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