Automorphism groups of Riemann surfaces of genus p+1, where p is prime
| dc.creator | Belolipetsky, M. | |
| dc.creator | Jones, G. A. | |
| dc.date | 2003-06-05 | |
| dc.date | 2004-11-21 | |
| dc.date.accessioned | 2026-07-07T04:58:37Z | |
| dc.date.available | 2026-07-07T04:58:37Z | |
| dc.description | We 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 $g=p+1$. | |
| dc.description | 16 pages, submitted to Galsgow Math. Journal | |
| dc.identifier | https://arxiv.org/abs/math/0306106 | |
| dc.identifier | http://arxiv.org/abs/math/0306106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67712 | |
| dc.subject | Group Theory | |
| dc.subject | 20F34; 30F35 | |
| dc.title | Automorphism groups of Riemann surfaces of genus p+1, where p is prime | |
| dc.type | text |