  The number of the relations of a Kahler group is bounded below by the number
of the generators and some geometric invariants of the corresponding compact
Kahler manifold, like the irregularity, the Albanese dimension and the Albanese
genera. Appropriate functions of the aforementioned geometric invariants are
shown to be lower bounds for the Betti numbers of the Kahler group within the
range, determined by the Albanese dimension.
