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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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
ePrint ID: 29802
Accepted Date and Publication Date:
Date Deposited: 27 Apr 2007
Last Modified: 31 Mar 2016 11:55

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