Skip to main content
Log in

Example of a finitely presented group in the variety α5 with the unsolvable word problem

  • Published:
Algebra and Logic Aims and scope

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

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. O. Zariski and P. Samuel, Commutative Algebra, Vol. I, Van Nostrand, Princeton (1958).

    Google Scholar 

  2. M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of the Theory of Groups [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  3. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Vol. 2, Amer. Math. Soc., Providence (1967).

    Google Scholar 

  4. R. Crowell and R. Fox, An Introduction to Knot Theory, Ginn and Co., Chicago (1963).

    Google Scholar 

  5. M. Hall, The Theory of Groups, Macmillan, New York (1959).

    Google Scholar 

  6. V. N. Remeslennikov and V. G. Sokolov, "Some properties of the Magnus embedding," Algebra i Logika,9, No. 5, 566–578 (1970).

    Google Scholar 

  7. A. L. Shmel'kin, "Free polynilpotent groups," Izv. Akad. Nauk SSSR, Ser. mat.,28, 91–122 (1964).

    Google Scholar 

  8. A. L. Shmel'kin, "Remarks on Shmel'kin's paper "Interlacing and varieties of groups", Izv. Akad. Nauk SSSR, Ser. mat.,31, 443–444 (1967).

    Google Scholar 

  9. G. Baumslag, "Wreath products and finitely presented groups," Math. Z.,75, 22–28 (1961).

    Google Scholar 

Download references

Authors

Additional information

Translated from Algebra i Logika, Vol. 12, No. 5, pp. 577–602, September–October, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Remeslennikov, V.N. Example of a finitely presented group in the variety α5 with the unsolvable word problem. Algebr Logic 12, 327–346 (1973). https://doi.org/10.1007/BF02218590

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02218590

Keywords

Navigation