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  • Cited by 4
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Saeki, Osamu and Sakuma, Kazuhiro 1998. On special generic maps into R3. Pacific Journal of Mathematics, Vol. 184, Issue. 1, p. 175.

    Thomas, C. B. 1979. On 3-manifolds with finite solvable fundamental group. Inventiones Mathematicae, Vol. 52, Issue. 2, p. 187.

    Cohen, Joel H. 1978. Finite group actions on finite complexes. Journal of Pure and Applied Algebra, Vol. 13, Issue. 1, p. 9.

    Orlik, Peter 1970. Weighted homogeneous polynomials and fundamental groups. Topology, Vol. 9, Issue. 3, p. 267.

  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 64, Issue 2
  • April 1968, pp. 303-306

Nilpotent groups and compact 3-manifolds

  • Charles Thomas (a1)
  • DOI:
  • Published online: 24 October 2008

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).

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

(3)J. W. Milnor Groups which act on Sn without fixed points. Amer. J. Math 79 (1957), 623630.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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