On normalizers in the braid group
Sbornik. Mathematics, Tome 15 (1971) no. 2, pp. 167-175
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Let $N_A$ be the normalizer of an element $A$ in the braid broup $\mathfrak B_{n+1}$. It is shown that $N_A$ is finitely generated, and a method for finding generators for $N_A$ is indicated. Bibliography: 4 titles.
@article{SM_1971_15_2_a0,
author = {G. S. Makanin},
title = {On normalizers in the braid group},
journal = {Sbornik. Mathematics},
pages = {167--175},
year = {1971},
volume = {15},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1971_15_2_a0/}
}
G. S. Makanin. On normalizers in the braid group. Sbornik. Mathematics, Tome 15 (1971) no. 2, pp. 167-175. http://geodesic.mathdoc.fr/item/SM_1971_15_2_a0/
[1] E. Artin, “Theorie der Zöpfe”, Abh. Math. Semin. Hamburg Univ., 4 (1926), 47–72 | DOI
[2] E. Artin, “Theory of Braids”, Ann. Math., 48 (1947), 101–126 | DOI | MR | Zbl
[3] F. A. Carside, “On the braid group and other groups”, Quart. J. Math. Oxford, 20:78 (1969), 235–254 | DOI | MR
[4] G. Burde, “Über Normalisatoren der Zopfgruppe”, Abh. math. Semin. Hamburg Univ., 27 (1964), 97–115 | DOI | MR | Zbl