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

M. Belolipetsky·G. A. Jones
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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.

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M. Belolipetsky, G. A. Jones. 2004-11-21. A bound for the number of automorphisms of an arithmetic Riemann surface. https://arxiv.org/abs/math/0306105

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