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

• Autorzy: Yoshiro Yaguchi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20F05: Generators, relations, and presentations
• 20F36: Braid groups; Artin groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 210
• Numer: 1
• Strony: 63-71

Daty

wydano

2010

Twórcy

autor

Yoshiro Yaguchi

• Department of Mathematics, Hiroshima University, Higashi-Hiroshima, 739-8526 Japan

Identyfikatory

DOI

10.4064/fm210-1-3