Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Nilpotent groups and compact 3-manifolds

Charles Thomasa1*

a1 Cornell University

The purpose of this paper is to give a complete list of those nilpotent groups which can be the fundamental groups of connected, closed, compact but possibly non-orientable 3-manifolds. The starting point is the following theorem of Reidmeister, which is given a neat proof in (1).

(Received June 12 1967)


* Work partially supported by National Science Foundation Grant GP-6556.