Skip to main content
SpringerLink
Log in

Recognizing automorphisms of the free groups

  • Published:
Archiv der Mathematik 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. J. S. Birman, An inverse function theorem for free groups. Proc. Amer. Math. Soc.41, 634–638 (1973).

    Google Scholar 

  2. A. Dold, Nullhomologous words in free groups which are not nullhomologous in any proper subgroup. Arch. Math.50, 564–569 (1988).

    Google Scholar 

  3. V. G. Durnev, The Mal'tsev-Nielsen equation in a free metabelian group of rank two. Math. Notes46, 927–929 (1989).

    Google Scholar 

  4. R. H. Fox, Free differential calculus. I. Derivation in the free group ring. Ann. of Math.57, 547–560 (1953).

    Google Scholar 

  5. N.Gupta, Free group rings. Contemp. Math.66 (1987).

  6. N. Gupta andV. Shpilrain, Nielsen's commutator test for two-generator groups. Math. Proc. Cambridge Philos. Soc.114, 295–301 (1993).

    Google Scholar 

  7. A. F. Krasnikov, Generators of the groupF/[N, N]. Math. Notes24, 591–594 (1979).

    Google Scholar 

  8. R.Lyndon and P.Shupp, Combinatorial Group Theory, Series of Modern Studies in Math.89, Berlin-Heidelberg-New York 1977.

  9. W. Magnus, Über diskontinuierliche Gruppen mit einer definierenden Relation (Der Freiheitssatz). J. Reine Angew. Math.163, 141–165 (1930).

    Google Scholar 

  10. J. Nielsen, Die Isomorphismen der allgemeinen unendlichen Gruppe mit zwei Erzeugenden. Math. Ann.78, 385–397 (1918).

    Google Scholar 

  11. D. S.Passman, The algebraic structure of group rings. New York 1977.

  12. G. Rosenberger, Alternierende Produkte in freien Gruppen. Pacific J. Math.78, 243–250 (1978).

    Google Scholar 

  13. H. Zieschang, Alternierende Produkte in freien Gruppen. Abh. Math. Sem. Univ. Hamburg27, 12–31 (1964).

    Google Scholar 

  14. H. Zieschang, Über Automorphismen ebener discontinuierlicher Gruppen. Math. Ann.166, 148–167 (1966).

    Google Scholar 

Download references

Author information

Author notes

  1. Vladimir Shpilrain

    Present address: Fakultät für Mathematik, Ruhr-Universität Bochum, D-44780, Bochum

Authors and Affiliations

    Authors
    1. Vladimir Shpilrain
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Supported by MINERVA Fellowship.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Shpilrain, V. Recognizing automorphisms of the free groups. Arch. Math 62, 385–392 (1994). https://doi.org/10.1007/BF01196426

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01196426

    Keywords

    Search

    Navigation