%0 Journal Article %T Instability of the virtual solvability and the property of being virtually torsion-free for quasi-isometric groups %A Anna Dioubina %J Mathematics %D 1999 %I arXiv %X 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. %U http://arxiv.org/abs/math/9911099v1