Geodesic
A free group of piecewise linear transformations
Grzegorz Tomkowicz1
1 Centrum Edukacji $G^2$ Moniuszki 9 41-902 Bytom, Poland
Colloquium Mathematicum, Tome 125 (2011) no. 2, pp. 141-146.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove the following conjecture of J. Mycielski: There exists a free nonabelian group of piecewise linear, orientation and area preserving transformations which acts on the punctured disk $\{(x,y) \in{ \mathbb{R}^{2}} : 0 x^{2}+y^{2} 1\}$ without fixed points.
DOI : 10.4064/cm125-2-1
Keywords: prove following conjecture mycielski there exists nonabelian group piecewise linear orientation area preserving transformations which acts punctured disk mathbb without fixed points

Grzegorz Tomkowicz 1

1 Centrum Edukacji $G^2$ Moniuszki 9 41-902 Bytom, Poland 
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Grzegorz Tomkowicz. A free group of piecewise linear transformations. Colloquium Mathematicum, Tome 125 (2011) no. 2, pp. 141-146. doi : 10.4064/cm125-2-1. http://geodesic.mathdoc.fr/articles/10.4064/cm125-2-1/

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