Instability of the virtual solvability and the property of being virtually torsion-free for quasi-isometric groups

Details Instability of the virtual solvability and the property of being virtually torsion-free for quasi-isometric groups Instability of the virtual solvability and the property of being virtually torsion-free for quasi-isometric groups

1999-11-14

arxiv.org/abs/math/9911099v1

Mathematics

Group Theory

Scientific paper

We construct examples of groups showing that virtual solvability and the
property of being virtually torsion-free are not preserved by bi-Lipschitz maps
and hence by quasi-isometries.

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