# A properly discontinuous free group of affine transformations

@article{Tomkowicz2018APD,
title={A properly discontinuous free group of affine transformations},
author={Grzegorz Tomkowicz},
journal={Geometriae Dedicata},
year={2018},
volume={197},
pages={91-95}
}
• G. Tomkowicz
• Published 10 January 2018
• Mathematics
• Geometriae Dedicata
We apply a construction of G. A. Margulis to show that there exists a free non-abelian properly discontinuous group of affine transformations of $$\mathbb {R}^3$$R3 with both linear and translational parts having integer entries and acting on $$\mathbb {R}^3$$R3 without fixed points.
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