The orbits of the Hurwitz action of the braid groups on the standard generators

Yoshiro Yaguchi. "The orbits of the Hurwitz action of the braid groups on the standard generators." Fundamenta Mathematicae 210.1 (2010): 63-71. <http://eudml.org/doc/283238>.

@article{YoshiroYaguchi2010,
abstract = {The Hurwitz action of the n-braid group Bₙ 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.},
author = {Yoshiro Yaguchi},
journal = {Fundamenta Mathematicae},
keywords = {braid groups; Hurwitz action; standard generators; orbits},
language = {eng},
number = {1},
pages = {63-71},
title = {The orbits of the Hurwitz action of the braid groups on the standard generators},
url = {http://eudml.org/doc/283238},
volume = {210},
year = {2010},
}

TY - JOUR
AU - Yoshiro Yaguchi
TI - The orbits of the Hurwitz action of the braid groups on the standard generators
JO - Fundamenta Mathematicae
PY - 2010
VL - 210
IS - 1
SP - 63
EP - 71
AB - The Hurwitz action of the n-braid group Bₙ 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.
LA - eng
KW - braid groups; Hurwitz action; standard generators; orbits
UR - http://eudml.org/doc/283238
ER -