Group satisfying Tits alternative for finitely generated subgroups

Definition
A group is said to satisfy the Tits alternative for finitely generated subgroups if for every finitely generated subgroup of it, one of these two conditions holds:


 * 1) The subgroup is virtually solvable (i.e., has a solvable subgroup of finite index)
 * 2) The subgroup contains a free non-abelian subgroup (which is equivalent to saying that it contains a copy of free group:F2).