Articles
Publicado 2008-04-09
Palabras clave
- free groups,
- orthogonal groups,
- Axiom of Choice.
Derechos de autor 2025 Scientia
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.
Cómo citar
Free groups of rotations acting without fixed points on the rational unit sphere. (2008). Scientia, 16, 109-117. https://revistas.usm.cl/scientia/article/view/115
Resumen
The purpose of this paper is to generalize an example of Sato of a free group of rotations of the Euclidean 3-space whose action on the rational unit sphere is fixed point free. Such groups are of interest, as they can be employed to construct paradoxical decompositions of spheres without assuming the Axiom of Choice.
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