Non-maximal cyclic group actions on compact Riemann surfaces
Non-maximal cyclic group actions on compact Riemann surfaces
We say that a finite group G of automorphisms of a Riemann surface X is non-maximal in genus y if (i) G acta as a group of automorphisms 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 completely solve the problem of finding all such pairs (n, g).
423-442
Singerman, David
3eeb0783-c87c-4405-81d7-e80ae4c15f8b
Watson, Paul
3906dc5b-c1b0-4886-be59-5e1404257963
1997
Singerman, David
3eeb0783-c87c-4405-81d7-e80ae4c15f8b
Watson, Paul
3906dc5b-c1b0-4886-be59-5e1404257963
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), .
Abstract
We say that a finite group G of automorphisms of a Riemann surface X is non-maximal in genus y if (i) G acta as a group of automorphisms 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 completely solve the problem of finding all such pairs (n, g).
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Published date: 1997
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Local EPrints ID: 29802
URI: http://eprints.soton.ac.uk/id/eprint/29802
ISSN: 0214-3577
PURE UUID: fdada6fb-a295-4bc4-a4f1-6ae319fe49f7
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Date deposited: 27 Apr 2007
Last modified: 11 Dec 2021 15:15
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Author:
Paul Watson
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