The orbits of the Hurwitz action of the braid groups on the standard generators
Tom 210 / 2010
Fundamenta Mathematicae 210 (2010), 63-71
MSC: Primary 20F36; Secondary 20F05.
DOI: 10.4064/fm210-1-3
Streszczenie
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.
