Infinite Group Actions on Spheres.
- Autores: Gaven J. Martín
- Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 4, Nº 3-4, 1988, págs. 407-451
- Idioma: inglés
- DOI: 10.4171/rmi/79
- Títulos paralelos:
- Acciones de grupo infinito sobre esferas.
- Enlaces
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Resumen
This paper is mainly intended as a survey of the recent work of a number of authors concerning certain infinite group actions on spheres and to raise some as yet unanswered questions. The main thrust of the current research in this area has been to decide what topological and geometrical properties characterise the infinite conformal or Möbius groups. One should then obtain reasonable topological or geometrical restrictions on a subgroup G of the homeomorphism group of a sphere which will imply that it can be made conformal after a change of coordinates. That is G is topologically conjugate to a Möbius group. Many aspects of the theory of Kleinian and Möbius groups can be found in the books [Ah 3], [Bea], [Mas 1], [MB] and Th].
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