AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME

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 pgeq 17