Hurwitz Equivalence in Dihedral Groups
Copyright policy )Hurwitz Equivalence in Dihedral Groups
In this paper we determine the orbits of the braid group $B_n$ action on $G^n$ when $G$ is a dihedral group and for any $T \in G^n$. We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its entries, the subgroup generated by its entries, and the number of times each conjugacy class (in the subgroup generated by its entries) is represented in $T$.
- Massachusetts Institute of Technology United States
Ordinary representations and characters, Reflection and Coxeter groups (group-theoretic aspects), Hurwitz actions, orbits, actions of braid groups, dihedral groups, Braid groups; Artin groups
Ordinary representations and characters, Reflection and Coxeter groups (group-theoretic aspects), Hurwitz actions, orbits, actions of braid groups, dihedral groups, Braid groups; Artin groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!