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Non-maximal cyclic group actions on compact Riemann surfaces

Singerman, David and Watson, Paul (1997) Non-maximal cyclic group actions on compact Riemann surfaces Revista Matemática de la Universidad Complutense de Madrid, 10, (2), pp. 423-442.

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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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Published date: 1997


Local EPrints ID: 29802
ISSN: 0214-3577
PURE UUID: fdada6fb-a295-4bc4-a4f1-6ae319fe49f7

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Date deposited: 27 Apr 2007
Last modified: 17 Jul 2017 15:56

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Author: David Singerman
Author: Paul Watson

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