| dc.creator | Hidalgo, Rubén A. | |
| dc.date | 2021-12-01 | |
| dc.date.accessioned | 2022-01-03T15:46:53Z | |
| dc.date.available | 2022-01-03T15:46:53Z | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2849 | |
| dc.identifier | 10.4067/S0719-06462021000300369 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/177724 | |
| dc.description | Conformal (respectively, anticonformal) automorphisms of the Riemann sphere are provided by the Möbius (respectively, extended Möbius) transformations. A Kleinian group (respectively, an extended Kleinian group) is a discrete group of Möbius transformations (respectively, a discrete group of Möbius and extended Möbius transformations, necessarily containing extended ones).
A function group (respectively, an extended function group) is a finitely generated Kleinian group (respectively, a finitely generated extended Kleinian group) with an invariant connected component of its region of discontinuity.
A structural decomposition of function groups, in terms of the Klein- Maskit combination theorems, was provided by Maskit in the middle of the 70’s. One should expect a similar decomposition structure for extended function groups, but it seems not to be stated in the existing literature. The aim of this paper is to state and provide a proof of such a decomposition structural picture. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2849/2122 | |
| dc.rights | Copyright (c) 2021 R. A. Hidalgo | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 No. 3 (2021); 369–384 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 Núm. 3 (2021); 369–384 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Kleinian groups | en-US |
| dc.subject | equivariant loop theorem | en-US |
| dc.title | The structure of extended function groups | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
