Skip to main content
SpringerLink
Log in

One variable equations over 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

References to algebraic closure for groups

  1. M. Erdélyi, Onn-algebraically closed groups. Publ. Math. Debrecen7, 310–315 (1960).

    Google Scholar 

  2. B. H. Neumann, A note on algebraically closed groups. J. London Math. Soc.27, 247–249 (1952).

    Google Scholar 

  3. W. R. Scott, Algebraically closed groups. Proc. Amer. Math. Soc.2, 118–121 (1951).

    Google Scholar 

References to divisible groups

  1. L.Fuchs, Abelian Groups. New York 1960. Chapter III.

  2. A. G.Kurosh, The Theory of Groups, Vol. 2. 2nd English Transl., New York 1960. Sect. 65.

References to criteria for compatibility

  1. G. Baumslag, Wreath products andp-groups. Proc. Cambridge Philos. Soc.55, 224–231 (1959).

    Google Scholar 

  2. M. Gerstenhaber andO. S. Rothaus, The solution of sets of equations in groups. Proc. Nat. Acad. Sci. USA48, 1531–1533 (1962).

    Google Scholar 

  3. G. Higman, B. H. Neumann andHanna Neumann, Embedding theorems for groups. J. London Math. Soc.24, 247–254 (1949).

    Google Scholar 

  4. F. Levin, Solutions of equations over groups. Bull. Amer. Math. Soc.68, 603–604 (1962).

    Google Scholar 

  5. B. H. Neumann, Adjunction of elements to groups. J. London Math. Soc.18, 4–11 (1943).

    Google Scholar 

  6. H. Schiek, Adjunktionsproblem und inkompressible Relationen. Math. Ann.146, 314–320 (1962).

    Google Scholar 

  7. H. Schiek, Das Adjunktionsproblem der Gruppentheorie. Math. Ann.147, 158–165 (1962).

    Google Scholar 

Other reference

  1. O. Zariski andP. Samuel, Commutative Algebra, Vol. I. Princeton 1958. (P. 84.)

    Google Scholar 

Download references

Author information

Author notes

  1. Frank Levin

    Present address: Department of Mathematics Rutgers, The State University, New Brunswick, N. J., USA

Authors and Affiliations

    Authors
    1. Frank Levin
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    This work was begun while the author was a Research Assistant at the Manchester College of Science and Technology, Manchester, England.

    The author wishes to express his appreciation to Dr. B. H.Neumann for invaluable advice and encouragement given in the preparation of this paper.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Levin, F. One variable equations over groups. Arch. Math 15, 179–188 (1964). https://doi.org/10.1007/BF01589184

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01589184

    Keywords

    Search

    Navigation