The orbits of the Hurwitz action of the braid groups on the standard generators
Yoshiro Yaguchi
Fundamenta Mathematicae, Tome 209 (2010), p. 63-71 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

The Hurwitz action of the n-braid group Bₙ on the n-fold direct product (Bm)ⁿ of the m-braid group Bm is studied. We show that the orbit of any n- tuple of the n standard generators of Bn+1 consists of the (n-1)th powers of n+1 elements.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283238 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm210-1-3,
     author = {Yoshiro Yaguchi},
     title = {The orbits of the Hurwitz action of the braid groups on the standard generators},
     journal = {Fundamenta Mathematicae},
     volume = {209},
     year = {2010},
     pages = {63-71},
     zbl = {1220.20033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm210-1-3}
}

Yoshiro Yaguchi. The orbits of the Hurwitz action of the braid groups on the standard generators. Fundamenta Mathematicae, Tome 209 (2010) pp. 63-71. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm210-1-3/