Deficiencies of lattices in connected Lie groups


J. A. Hillman


Research Report 99-22
Date: 22 October 1999


We complete the determination of the groups of deficiency >0 which occur as lattices in connected Lie groups. The torsion free groups among them are 3-manifold groups. We show that any other torsion free 3-manifold group which is such a lattice is the group of an aspherical closed geometric 3-manifold.

Key phrases

deficiency. lattice. Lie group. 3-manifold.

AMS Subject Classification (1991)

Primary: 20F05
Secondary: 22E40


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