Skip to main content
SpringerLink
Log in
Book cover

International Workshop on Word Equations and Related Topics

IWWERT 1990: Word Equations and Related Topics pp 1–11Cite as

Investigations on equations in a free group

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 572))

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

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

    Google Scholar 

  2. R. C. Lyndon, The equation a 2 b 2=c 2 in free groups, Michigan Math. J. 6 (1959), 89–95.

    Google Scholar 

  3. R. C. Lyndon, Equations in free groups, Trans. Amer. Math. soc. (1960), 445–457.

    Google Scholar 

  4. R. C. Lyndon, Groups with parametrical exponents, Trans. Amer. Math. Soc. 96 (1960), 518–533.

    Google Scholar 

  5. A. A. Lorents, Representation of solution sets of systems of equations with one unknown in free groups, Dokl. Akad. Nauk SSSR 178 (1968), 290–292: English transl. in Soviet Math. Dokl. 9 (1968).

    Google Scholar 

  6. J. H. C. Whitehead, On equivalent sets of elements in a free group, Proc. London Math. Soc. (2) 37 (1936), 782–800.

    Google Scholar 

  7. Yu. I. Hhmelevskii, Systems of equations in a free group I, Izv. Akad. Nauk SSR Ser. Mat. 35 (1971), 1237–1268; English transl. in Math. USSR Izv. 5 (1971).

    Google Scholar 

  8. Yu. I. Hhmelevskii, Systems of equations in a free group II, Izv. Akad. Nauk SSR Ser. Mat. 36 (1972), pp. 110–179; English transl. in Math. USSR Izv. 6 (1972).

    Google Scholar 

  9. G. S. Makanin, Equations in a free group, Izv. Akad. Nauk SSR Ser. Math. 46 (1982), 1199–1273; English transl. in Math. USSR Izv. 21 (1983).

    Google Scholar 

  10. G. S. Makanin, Decidability of the universal and positive theories of a free group, Izv. Akad. Nauk SSSR Ser. Math. 48 (1984), 735–749; English transl. in Math. USSR Izv. 25 (1985).

    Google Scholar 

  11. Yu. i. Merzlyakov, Positive formulas on free groups, Algebra i Logika 5 (1966), no.4, 25–42.

    Google Scholar 

  12. A. Tarskii, Basic Research in the foundations of mathematics, Report for the period January 15, 1957–June 30, 1959.

    Google Scholar 

  13. A. A. Razborov, On systems of equations in a free group, Izv. Akad. Nauk SSSR Ser. Mat. 48 (1984), 779–832; English transl. in Math. USSR Izv. 25 (1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Steklov Institute of Mathematics, Academy of Science of the USSR, Vavilov Str. 42, GSP-1, 117966, Moscow, USSR

    G. S. Makanin

Authors
  1. G. S. Makanin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

K. U. Schulz

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Makanin, G.S. (1992). Investigations on equations in a free group. In: Schulz, K.U. (eds) Word Equations and Related Topics. IWWERT 1990. Lecture Notes in Computer Science, vol 572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55124-7_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-55124-7_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55124-9

  • Online ISBN: 978-3-540-46737-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation