| dc.creator | HIDALGO,RUBÉN A. | |
| dc.date | 2001-08-01 | |
| dc.date.accessioned | 2019-09-10T12:40:39Z | |
| dc.date.available | 2019-09-10T12:40:39Z | |
| dc.identifier | https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200002 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/105968 | |
| dc.description | In this note we consider a class of groups of conformal automorphisms of closed Riemann surfaces containing those which can be lifted to some Schottky uniformization. These groups are those which satisfy a necessary condition for the Schottky lifting property. We find that all these groups have upper bound 12(g - 1), where g <FONT FACE=Symbol>³</FONT> 2 is the genus of the surface. We also describe a sequence of infinite genera g1< g2 < ... for which these upper bound is attained. Also lower bounds are found, for instance, (i ) 4(g+1) for even genus and 8(g - 1) for odd genus. Also, for cyclic groups in such a family sharp upper bounds are given | |
| dc.format | text/html | |
| dc.language | en | |
| dc.publisher | Universidad Católica del Norte, Departamento de Matemáticas | |
| dc.relation | 10.4067/S0716-09172001000200002 | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Proyecciones (Antofagasta) v.20 n.2 2001 | |
| dc.subject | Schottky groups | |
| dc.subject | Reimann surfaces | |
| dc.subject | conformal automorphisms | |
| dc.title | BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A) | |
