Geodesic
The orbits of the Hurwitz action of the braid groups on the standard generators
Yoshiro Yaguchi1
1 Department of Mathematics Hiroshima University Higashi-Hiroshima, 739-8526 Japan
Fundamenta Mathematicae, Tome 210 (2010) no. 1, pp. 63-71 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The Hurwitz action of the $n$-braid group $B_n$ on the $n$-fold direct product $(B_m)^n$ of the $m$-braid group $B_m$ is studied. We show that the orbit of any $n$- tuple of the $n$ standard generators of $B_{n+1}$ consists of the $(n-1)$th powers of $n+1$ elements.
DOI : 10.4064/fm210-1-3
Keywords: hurwitz action n braid group n fold direct product m braid group studied orbit n tuple standard generators consists n powers elements

Yoshiro Yaguchi 1

1 Department of Mathematics Hiroshima University Higashi-Hiroshima, 739-8526 Japan 
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Yoshiro Yaguchi. The orbits of the Hurwitz action of the braid groups
 on the standard generators. Fundamenta Mathematicae, Tome 210 (2010) no. 1, pp. 63-71. doi: 10.4064/fm210-1-3

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