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Nilpotent groups and compact 3-manifolds

Published online by Cambridge University Press:  24 October 2008

Charles Thomas
Affiliation:
Cornell University

Extract

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).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Epstein, D. B. A.On finite presentations of groups and 3-manifolds. Quart. J. Math. Oxford Ser. 12 (1961), 205–12.CrossRefGoogle Scholar
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