Hurwitz equivalence in dihedral groups.
type: Item
instance of: scholarly article
title: Hurwitz equivalence in dihedral groups.
zbMATH Open document ID: 1217.20023
author: Emily Berger
published in: The Electronic Journal of Combinatorics
publication date: 2011-06-01T00:00:00Z
full work available at URL: https://eudml.org/doc/225922
full work available at URL: v18i1p45.html
review text: 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 \(T\).
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 5902975
zbMATH Keywords: dihedral groups
zbMATH Keywords: orbits
zbMATH Keywords: Hurwitz actions
zbMATH Keywords: actions of braid groups
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5902975