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), 423-442.
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Original Publication URL: http://www.ucm.es/BUCM/revistas/mat/11391138/artic...
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) |
| Related URLs: | |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 29802 |
| Date Deposited: | 27 Apr 2007 |
| Last Modified: | 02 Mar 2012 13:49 |
| Contributors: | Singerman, David (Author) Watson, Paul (Author) |
| Date: | 1997 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29802 |
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