2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67712We show that if $\cal S$ is a compact Riemann surface of genus $g = p+1$, where $p$ is prime, with a group of automorphisms $G$ such that $|G|\geqλ(g-1)$ for some real number $λ>6$, then for all sufficiently large $p$ (depending on $λ$), $\cal S$ and $G$ lie in one of six infinite sequences of examples. In particular, if $λ=8$ then this holds for all $p\geq 17$ and we obtain the largest groups of automorphisms of Riemann surfaces of genenera $g=p+1$.16 pages, submitted to Galsgow Math. JournalGroup Theory20F34; 30F35text