Skip to main content
SpringerLink
Log in

The algebraic braid groups are torsion-free: An algebraic proof

  • Published:
Mathematische Zeitschrift 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. Andreadakis, S.: On the automorphisms of free groups and free nilpotent groups. Proc. London Math. Soc. (3)15, 239–268 (1965)

    Google Scholar 

  2. Artin E.: Theorie der Zoepfe. Abh. Math. Sem. Univ. Hamburg4, 47–72 (1926)

    Google Scholar 

  3. Artin, E.: Theory of Braids. Ann. of Math.48, 101–126 (1947)

    Google Scholar 

  4. Bachmuth, S.: Induced automorphisms of free groups and free metabelian groups. Trans. Amer. Math. Soc.122, 1–17 (1966)

    Google Scholar 

  5. Birman, J.: Braids, links, and mapping class groups. Annals of Mathematics Studies 82. Princeton, N.J.: Princeton University Press (1974)

    Google Scholar 

  6. Bohnenblust, F.: The algebraical braid group. Ann. of Math.48, 127–136 (1947)

    Google Scholar 

  7. Chow, W.-L.: On the algebraical braid group. Ann. of Math.49, 654–658 (1948)

    Google Scholar 

  8. Dyer, J.L., Scott, G.P.: Periodic automorphisms of free groups. Comm. Algebra3, 195–201 (1975)

    Google Scholar 

  9. Fadell, E., Neuwirth, L.: Configuration spaces. Math. Scand.10, 111–118 (1962)

    Google Scholar 

  10. Fox, R.H., Neuwirth, L.: The braid group. Math. Scand.10, 119–126 (1962)

    Google Scholar 

  11. Magnus, W.: Über Automorphismen von Fundamentalgruppen berandeter Flächen. Math. Ann.109, 617–646 (1934)

    Google Scholar 

  12. Magnus, W.: Braid groups: a survey. In: Proceedings of the Second International Conference on the Theory of Groups (Canberra, 1973), pp. 463–487. Lecture Notes in Mathematics372. Berlin-Heidelberg-New York: Springer (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Herbert H. Lehman College, City University of New York, Bedford Park Boulevard West, 10468, Bronx, New York, USA

    Joan L. Dyer

Authors
  1. Joan L. Dyer
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dyer, J.L. The algebraic braid groups are torsion-free: An algebraic proof. Math Z 172, 157–160 (1980). https://doi.org/10.1007/BF01182400

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01182400

Keywords

Search

Navigation