Skip to main content
SpringerLink
Log in

Roots and centralizers of peripheral elements in knot groups

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bing, R. H., Martin, J. M.: Cubes with knotted holes. Trans. Amer. Math. Soc.155, 217–231 (1971)

    Google Scholar 

  2. Burde, G., Zieschang, H.: Eine Kennzeichnung der Torusknoten. Math. Ann.167, 169–175 (1966)

    Google Scholar 

  3. Feustel, C. D.: Embeddings and essential embeddings of annuli and möbius bands inM 3. preprint

  4. Fox, R. H.: A quick trip through knot theory, Topology of 3-Manifolds (M. K. Fort, Ed.). New York: Prentice-Hall 1962

    Google Scholar 

  5. Gonzalez-Acuña, F.: Dehn's construction on knots. Bol. Soc. Mat. Mex.15, 58–79 (1970)

    Google Scholar 

  6. Hempel, J.: A simply connected 3-manifold isS 3 if it is the sum of a solid torus and the complement of a torus knot. Proc. Amer. Math. Soc.15, 154–158 (1964)

    Google Scholar 

  7. Jaco, W.: Roots, relations and centralizers in three manifold groups. Geometric Topology (L.C. Glaser and T. B. Rushing, eds), Lecture Notes in Mathematics, 283–310. Berlin, Heidelberg, New York: 1975

  8. Magnus, W., et al.: Combinatorial Group Theory. New York: John Wiley 1966

    Google Scholar 

  9. Noga, D.: Über den Aussenraum von Produktknoten und die Bedeutung der Fixgruppen. Math. Z.101, 131–141 (1967)

    Google Scholar 

  10. Schubert, H.: Über eine numerische Knoteninvariante. Math. Z.61, 245–288 (1954)

    Google Scholar 

  11. Seifert, H.: Topologie Dreidimensionaler Gefaserter Räume. Acta Math.60, 147–238 (1933)

    Google Scholar 

  12. Simon, J.: An algebraic classification of knots inS 3. Ann. Math.97, 1–13 (1973)

    Google Scholar 

  13. Simon, J.: Compactification of covering spaces of compact 3-manifolds. to appear inMichigan Math. J.

  14. Waldhausen, F.: On the determination of some bounded 3-manifolds by their fundamental groups alone. Proc. International Symp. Topology and Appl., Herceg-Novi, Yugoslavia, 1968, Beograd 331–332 (1969)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Iowa, 52242, Iowa City, Iowa, USA

    Jonathan Simon

Authors
  1. Jonathan Simon
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

AMS(MOS) subject classification (1970): Primary 55A25, 57A10

Research partially supported by NSF Grant GP29430

Rights and permissions

Reprints and permissions

About this article

Cite this article

Simon, J. Roots and centralizers of peripheral elements in knot groups. Math. Ann. 222, 205–209 (1976). https://doi.org/10.1007/BF01362577

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01362577

Keywords

Search

Navigation