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On the universal group of the Borromean rings

Linking Phenomena And 3-Dimensional Topology

Part of the Lecture Notes in Mathematics book series (LNM,volume 1350)

Keywords

  • Fundamental Domain
  • Orbit Space
  • Kleinian Group
  • Cell Decomposition
  • Algebraic Integer

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References

  1. H.M. Hilden, M.T. Lozano, J.M. Montesinos, and W. Whitten, "On universal groups and three-manifolds", Inventiones, vol. 87 (1987), 441–456.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Alan F. Beardon, "The Geometry of Discrete Groups", Springer-Verlag, #91, Graduate Texts in Mathematics.

    Google Scholar 

  3. Hyman Bass, "Groups of Integral Representation Type", Pacific J. Math., vol. 86 (1980), 15–51.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M.A. Armstrong, "The fundamental group of the orbit space of a discontinuous group", Proc. Camb. Phil. Soc., 64 (1968), 299–301.

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  5. W. Thurston, "The geometry and topology of three-manifolds", Princeton University Press, (to appear).

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  6. H. Hilden, M. Lozano and J. Montesinos, "The Whitehead link, the Borromean rings and the Knot 946 are universal", Collec. Math., 34 (1983), 19–28.

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  7. H. Hilden, M. Lozano and J. Montesinos, "Universal knots", LNM #1144 (D. Rolfsen, ed.), Springer-Verlag, (1985), 25–59.

    Google Scholar 

  8. H. Hilden, M. Lozano and J. Montesinos, "On knots that are universal", Topology, vol. 24 (1985), 499–504.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Alan W. Reid, "Arithmetic Kleinian groups and their Fuchsian subgroups", Ph. D. thesis, Univ. of Aberdeen, Scotland, 1987.

    Google Scholar 

  10. E.B. Vinberg, "Discrete Groups generated by reflections in Lobacerskii spaces", Mat. Sbornik 114 (1967), 471–488. (A.M.S. translation, Math. USSR Sbornik 1 (1967), 429–444.)

    MathSciNet  MATH  Google Scholar 

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© 1988 Springer-Verlag

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Hilden, H.M., Lozano, M.T., Montesinos, J.M. (1988). On the universal group of the Borromean rings. In: Koschorke, U. (eds) Differential Topology. Lecture Notes in Mathematics, vol 1350. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081465

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  • DOI: https://doi.org/10.1007/BFb0081465

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50369-9

  • Online ISBN: 978-3-540-45990-3

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