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Glasgow Mathematical Journal (1)

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AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME
MIKHAIL BELOLIPETSKY, GARETH A. JONES
Journal:

Glasgow Mathematical Journal / Volume 47 / Issue 2 / May 2005

Published online by Cambridge University Press:

27 July 2005, pp. 379-393

Print publication:

May 2005
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We show that if $\mathcal S$ is a compact Riemann surface of genus $g=p+1$, where $p$ is prime, with a group of automorphisms $G$ such that $|G|\geq\lambda(g-1)$ for some real number $\lambda>6$, then for all sufficiently large $p$ (depending on $\lambda$), $\mathcal S$ and $G$ lie in one of six infinite sequences of examples. In particular, if $\lambda=8$ then this holds for all $p\geq 17$.