Skip to main content
SpringerLink
Log in

On the universal group of the Borromean rings

  • Linking Phenomena And 3-Dimensional Topology
  • Conference paper
  • First Online:
Differential Topology

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

  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.

    Article  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 

Download references

Authors
  1. Hugh M. Hilden
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Maria Teresa Lozano
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. José Maria Montesinos
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ulrich Koschorke

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50369-9

  • Online ISBN: 978-3-540-45990-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation