a1 Department of Mathematics, University College London, Gower Street, London WC1E 6BT
a2 Department of Mathematics, University of Edinburgh, The King's Buildings, Edinburgh EH9 3JZ
The class of fundamental groups of non-singular complex projective varieties is an interesting, but as yet imperfectly understood, class of finitely presented groups. Membership of is known to be extremely restricted (see [22, 23]). In this paper, we employ geometrical rigidity properties to realize some group extensions as elements of as in our previous papers, we find it convenient to work simultaneously with the class of fundamental groups of compact Kähler manifolds.
(Received July 10 1989)
(Revised May 02 1990)