  Let V(KG) be the normalized group of units of the group ring KG of a
non-Dedekind group G with nontrivial torsion part t(G) over the integral domain
K. We give a simple method for constructing free objects in V(KG).In
particular, we show that V(KG) always contains the free product C_n*C_n of two
finite cyclic groups. We construct examples of subgroups in V(KG), which are
either cyclic extensions of a non-abelian free group or C_n*C_n.
