Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups. (Q1010803)

From MaRDI portal





scientific article; zbMATH DE number 5540985
Language Label Description Also known as
English
Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups.
scientific article; zbMATH DE number 5540985

    Statements

    Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups. (English)
    0 references
    0 references
    7 April 2009
    0 references
    Summary: Let \(Q_{2^m}\) be the generalized quaternion group of order \(2^m\) and \(D_N\) the dihedral group of order \(2N\). We classify the orbits in \(Q_{2^m}^n\) and \(D_{p^m}^n\) (\(p\) prime) under the Hurwitz action.
    0 references
    generalized quaternion groups
    0 references
    dihedral groups
    0 references
    orbits
    0 references
    Hurwitz actions
    0 references
    actions of braid groups
    0 references

    Identifiers