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

Belolipetsky, M.; Jones, G.

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.

Citation

Belolipetsky, M., & Jones, G. (2005). A bound for the number of automorphisms of an arithmetic Riemann surface. Mathematical Proceedings of the Cambridge Philosophical Society, 138(2), 289-299. https://doi.org/10.1017/s0305004104008035

• Journal Article Type: Article
• Publication Date: 2005-03
• Deposit Date: May 22, 2008
• Publicly Available Date: Mar 31, 2010
• Journal: Mathematical Proceedings of the Cambridge Philosophical Society
• Print ISSN: 0305-0041
• Electronic ISSN: 1469-8064
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 138
• Issue: 2
• Pages: 289-299
• DOI: https://doi.org/10.1017/s0305004104008035
• Public URL: https://durham-repository.worktribe.com/output/1561419