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

Anna Dioubina
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Abstract

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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Anna Dioubina. 1999-11-14. Instability of the virtual solvability and the property of being virtually torsion-free for quasi-isometric groups. https://arxiv.org/abs/math/9911099

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