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A bound for the number of automorphisms of an arithmetic Riemann surface.

Belolipetsky, M. and Jones, G. (2005) 'A bound for the number of automorphisms of an arithmetic Riemann surface.', Mathematical proceedings of the Cambridge Philosophical Society., 138 (2). pp. 289-299.

Abstract

We show that for every g > 1 there is a compact arithmetic Riemann surface of genus g with at least 4(g-1)automorphisms, and that this lower bound is attained by infinitely many genera, the smallest being 24.

Item Type:Article
Full text:PDF - Published Version (121Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1017/S0305004104008035
Publisher statement:Copyright © Cambridge University Press 2005. This paper has been published by Cambridge University Press in Mathematical proceedings of the Cambridge Philosophical Society (138:2 (2003) 289-299) http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=283520
Record Created:22 May 2008
Last Modified:24 Aug 2011 09:19

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