References
Arnold, V. I.: The cohomology ring of the group of dyed braids, Mat. Zam. 5(5) (1969), 227–231.
Artin, E.: Theory of braids, Ann. of Math. 49 (1948), 101–126.
Birman, J.: Braid, Links, and Mapping Class Groups, Ann. of Math. Stud. 82, Princeton Univ. Press, 1975.
Burde, G.: Ñber Normalisatoren der Zopfgruppe, Abh. Math. Sem. Univ. Hamburg 27 (1964), 235–254.
Franco, N. and González-Meneses, J.: Computation of centralizers in braid groups and Garside groups, Preprint, arXiv:math.GT/0201243, to appear in Revista mate. Iberoamericana.
González-Meneses, J. and Wiest, B.: On the structure of the centralizer of a braid, Preprint, arXiv:math.GT/0305156.
Gurzo, G. G.: Systems of generators for normalizers of certain elements of the braid group, Izve. AN SSSR 48(3) (1984), 476–519. English translation: Math. USSR-Izvest. 24(3) (1985), 439-478.
Gurzo, G. G.: Systems of generators for centralizers of rigid elements of the braid group, Izve. AN SSSR 51(5) (1987), 915–935. English translation: Math. USSR-Izvest. 24(3) (1985), 223-244.
Irmak, E., Ivanov, N. V. and McCarthy, J. D.: Automorphisms of surface braid groups, Preprint, arXiv:math.GT/0306069.
Ivanov, N. V.: Automorphisms of Teichmüller modular groups, In: Lecture Notes in Math. 1346, Springer-Verlag, New York, 1988, pp. 199–270.
Ivanov, N. V.: Subgroups of Teichmüller Modular Groups, Transl. Math. Monogr. 115, Amer. Math. Soc., Providence, 1992.
Ivanov, N. V.: Braids and Thurston's classification, Talk at the Special Session Mapping class groups and geometric theory of Teichmüller spaces, Amer. Math. Soc. Ann Arbor, MI, 1–3 March, 2002.
McCarthy, J. D.: Normalizers and centralizers of pseudo-Anosov mapping classes, Preprint, 1982; revised version 1994.
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Ivanov, N.V. Examples of Large Centralizers in the Artin Braid Groups. Geometriae Dedicata 105, 231–235 (2004). https://doi.org/10.1023/B:GEOM.0000024688.76049.ee
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DOI: https://doi.org/10.1023/B:GEOM.0000024688.76049.ee