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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Description/Abstract

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).

Item Type: Article
ISSNs: 0214-3577 (print)
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ePrint ID: 29802
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1997Published
Date Deposited: 27 Apr 2007
Last Modified: 16 Apr 2017 22:21
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/29802

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