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

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

2003-06-05

arxiv.org/abs/math/0306105v2

Mathematics

Group Theory

11 pages, to appear in Math. Proc. Camb. Phil. Soc

Scientific paper

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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