Literature Cited
N. Bourbaki, Elements of Mathematics, Lie Groups and Lie Algebras, Part I, Chaps. 1–3, Herman, Paris; Addison-Wesley, Reading, MA (1975).
É. Brieskorn and K. Saito, “Artin-Gruppen und Coxeter-Gruppen,” Invent. Math.,17, 245–271 (1972).
G. S. Makanin, “Normalizers of braid groups,” Mat. Sb.,86, No. 2, 171–179 (1971).
V. B. Styshnev, “Taking the root in a braid group,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, 1120–1131 (1978).
V. N. Bezverkhnii and V. A. Grinblat, “On the occurrence problem in Artin groups of finite type,” Sib. Mat. Zh.,23, No. 4, 19–28 (1982).
T. A. Makanina, “The occurrence problem for the braid groups Bn+1 with n+1>-5,”, Mat. Zametki,29, No. 1, 31–33 (1981).
R. C. Lyndon and P. E. Schupp, Combinatorial Groups Theory, Springer-Verlag, Berlin-New York (1977).
K. A. Mikhailova, “The occurrence problem for direct products of groups,” Dokl. Akad. Nauk SSSR,119, No. 6, 1103–1105 (1958).
V. N. Bezverkhnii, “Solution of the occurrence problem in the class of HNN-groups,” in: Algorithmic Problems in the Theory of Groups and Semigroups [in Russian], Tula (1981), pp. 20–62.
Kourovskaya Notebook, Novosibirsk (1980).
Additional information
Tula. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 26, No. 5, pp. 27–42, September–October, 1985.
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Bezverkhnii, V.N. Unsolvability of the occurrence problem in Artin groups of finite type. Sib Math J 26, 648–661 (1985). https://doi.org/10.1007/BF00969023
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DOI: https://doi.org/10.1007/BF00969023