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

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We show that for every g ? 2 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.

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Belolipetsky, Mikhail and Jones, Gareth A. (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. (doi:10.1017/S0305004104008035).

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Published date: March 2005


Local EPrints ID: 41174
ISSN: 0305-0041
PURE UUID: 2287ff46-5283-4eff-8e99-3244e44eb12e

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Date deposited: 25 Jul 2006
Last modified: 17 Jul 2017 15:32

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Author: Mikhail Belolipetsky
Author: Gareth A. Jones

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