  In the present paper the representation of the virtual braid group $VB_n$
into the automorphism group of free product of the free group and free abelian
group is constructed. This representation generalizes the previously
constructed ones. The fact that these already known representations are not
faithful for $n \geq 4$ is verified. Using representations of $VB_n$, the
virtual link group is defined. Also representations of welded braid group
$WB_n$ are constructed and the welded link group is defined.
