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.
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References
W. Burau, “Über Zopfinvarianten,”Abh. Math. Sem. Univ. Hamburg,9, 117–124 (1932).
E. Artin, “Theory of braids,”Ann. of Math.,48, 101–126 (1947).
A. A. Markov, “Foundations of the algebraic theory of tresses,”Trudy Mat. Inst. Steklov,16, 1–54 (1945).
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.
A. M. Akimenkov, “Subgroups of the braid groupB 4,”Mat. Zametki [Math. Notes],50, No. 6, 3–13 (1991).
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).
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.
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.
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Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 15–22, January, 1999.
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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
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DOI: https://doi.org/10.1007/BF02675004