Skip to main content
Log in

On the unsolvability of the conjugacy problem for subgroups of the groupR 5 of pure braids

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

The main objective of the paper is the proof of the unsolvability of the conjugacy problem for subgroups of the pure braid groupR 5.

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.

Similar content being viewed by others

References

  1. W. Burau, “Über Zopfinvarianten,”Abh. Math. Sem. Univ. Hamburg,9, 117–124 (1932).

    Article  Google Scholar 

  2. E. Artin, “Theory of braids,”Ann. of Math.,48, 101–126 (1947).

    Article  MathSciNet  Google Scholar 

  3. A. A. Markov, “Foundations of the algebraic theory of tresses,”Trudy Mat. Inst. Steklov,16, 1–54 (1945).

    Google Scholar 

  4. I. V. Dobrynina, “On the unsolvability of the conjugacy problem for subgroups of the groupR n+1 (n>-5) of pure braids,” in:Algorithmic Problems of the Theory of Groups and Semigroups [in Russian], Tul’sk. Gos. Ped. Inst., Tula (1994), pp. 62–70.

    Google Scholar 

  5. A. M. Akimenkov, “Subgroups of the braid groupB 4,”Mat. Zametki [Math. Notes],50, No. 6, 3–13 (1991).

    MathSciNet  Google Scholar 

  6. P. S. Novikov, “On the algebraic insolvability of the world problem in group theory,”Trudy. Mat. Inst. Steklov,44, 3–143 (1955); English translation, Am. Math. Soc., Providence, R. I. (1958).

    Google Scholar 

  7. V. N. Bezverkhnii, “The unsolvability of the problem of the conjugation of subgroups for a free product of free groups with amalgamation,” in:Collection of Scientific Works of the Department of Higher Mathematics [in Russian], Vol. No. 3, Tul’sk. Gos. Ped. Inst., Tula (1975), pp. 90–94.

    Google Scholar 

  8. K. A. Mikhailova, “The occurrence problem for free products of groups,”Mat. Sb. [Math. USSR-Sb.],70, No. 2, 241–251 (1966), I. S. Bezverkhnyaya, “Conjugacy of finite sets of subgroups in a free product of groups,” in:Algorithmic Problems of the Theory of Groups and Semigroups [in Russian], Tul’sk. Gos. Ped. Inst., Tula (1981), pp. 102–116.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 15–22, January, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bezverkhnii, V.N., Dobrynina, I.V. On the unsolvability of the conjugacy problem for subgroups of the groupR 5 of pure braids. Math Notes 65, 13–19 (1999). https://doi.org/10.1007/BF02675004

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02675004

Keywords

Navigation