Hurwitz equivalence in dihedral groups. (Q540020)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hurwitz equivalence in dihedral groups. |
scientific article; zbMATH DE number 5902975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hurwitz equivalence in dihedral groups. |
scientific article; zbMATH DE number 5902975 |
Statements
Hurwitz equivalence in dihedral groups. (English)
0 references
1 June 2011
0 references
Summary: 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 \(T\).
0 references
dihedral groups
0 references
orbits
0 references
Hurwitz actions
0 references
actions of braid groups
0 references
