Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups.
The electronic journal of combinatorics, Tome 15 (2008)
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.
DOI :
10.37236/804
Classification :
20F36, 20C15, 20F05
Mots-clés : generalized quaternion groups, dihedral groups, orbits, Hurwitz actions, actions of braid groups
Mots-clés : generalized quaternion groups, dihedral groups, orbits, Hurwitz actions, actions of braid groups
@article{10_37236_804,
author = {Xiang-dong Hou},
title = {Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups.},
journal = {The electronic journal of combinatorics},
year = {2008},
volume = {15},
doi = {10.37236/804},
zbl = {1188.20032},
url = {http://geodesic.mathdoc.fr/articles/10.37236/804/}
}
Xiang-dong Hou. Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups.. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/804
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