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

M. Belolipetsky , G. A. Jones

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classification 🧮 math.GR math.AG

keywords arithmeticautomorphismsboundriemannsurfaceattainedcompactevery

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

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