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Nilpotent groups and compact 3-manifolds

  • Charles Thomas (a1)

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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