RT Journal Article
T1 Automorphism groups of hyperelliptic Riemann surfaces
A1 Bujalance García, Emilio
A1 Etayo Gordejuela, José Javier
AB If G is a group of automorphisms of a hyperelliptic Riemann surface of genus g represented as D/$\Gamma$ where D is the hyperbolic plane and $\Gamma$ a Fuchsian group, then $G\cong \Gamma '/\Gamma$ where $\Gamma$ ' is also a Fuchsian group. Furthermore G contains a central subgroup $G\sb 1$ of order 2 and if $\Gamma\sb 1$ is the corresponding subgroup of $\Gamma$ ', then $G/G\sb 1$ is a group of automorphisms of the sphere $D/\Gamma\sb 1$. Using this and structure theorem for Fuchsian groups the authors determine all surfaces of genus $g>3$ admitting groups G with $o(G)>8(g-1)$. There are two infinite families both corresponding to $\Gamma$ ' being the triangle group (2,4,m) and six other groups.
PB Department of Mathematics, Tokyo Institute of Technology
SN 0386-5991
YR 1987
FD 1987
LK https://hdl.handle.net/20.500.14352/64651
UL https://hdl.handle.net/20.500.14352/64651
LA eng
NO Bujalance García, E. & Etayo Gordejuela, J. J. «Automorphism groups of hyperelliptic Riemann surfaces». Kodai Mathematical Journal, vol. 10, n.o 2, enero de 1987. DOI.org (Crossref), https://doi.org/10.2996/kmj/1138037412.
DS Docta Complutense
RD 6 abr 2025