A bound for the number of automorphisms of an arithmetic Riemann surface
MIKHAIL BELOLIPETSKY a1andGARETH A. JONES a2 a1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia. e-mail: firstname.lastname@example.org a2 Faculty of Mathematical Studies, University of Southampton, Southampton, SO17 1BJ. e-mail: email@example.com
We show that for every $g\geq 2$ 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.
(Received December 16 1999) (Revised December 2 2003)