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 -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.
