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Nilpotent quotients of fundamental groups of special 3-manifolds with boundary

Published online by Cambridge University Press:  17 April 2009

Gabriela Putinar
Gabriela Putinar
Affiliation:
Department of Mathematics, University of California at San Diego, La Jolla, CA 92037, United States of America
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Abstract

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We use a Betti number estimate of Freedman-Hain-Teichner to show that the maximal torsion-free nilpotent quotient of the fundamental group of a 3-manifold with boundary is either Z or Z ⊕ Z. In particular we reobtain the Evans-Moser classification of 3-manifolds with boundary which have nilpotent fundamental groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 2 , October 1998 , pp. 233 - 237
Copyright
Copyright © Australian Mathematical Society 1998

References

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