Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups
Let D[subscript 2N] be the dihedral group of order 2N, Dic[subscript 4M] the dicyclic group of order 4M, SD[subscript 2m] the semidihedral group of order 2[superscript m], and M[subscript 2m] the group of order 2[superscript m] with presentation M[subscript 2m] = ⟨α,β∣α[superscript 2m−1] = β[supers...
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| Format: | Article |
| Language: | en_US |
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Electronic Journal of Combinatorics
2014
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| Online Access: | http://hdl.handle.net/1721.1/89810 |
| _version_ | 1811097866723131392 |
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| author | Sia, Charmaine |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Sia, Charmaine |
| author_sort | Sia, Charmaine |
| collection | MIT |
| description | Let D[subscript 2N] be the dihedral group of order 2N, Dic[subscript 4M] the dicyclic group of order 4M, SD[subscript 2m] the semidihedral group of order 2[superscript m], and M[subscript 2m] the group of order 2[superscript m] with presentation
M[subscript 2m] = ⟨α,β∣α[superscript 2m−1] = β[superscript 2] = 1, βαβ[superscript −1] = α[superscript 2m−2+1]⟩.
We classify the orbits in D[n over 2N], Dic[n over 4M], SD[n over 2m], and M[n over 2m] under the Hurwitz action. |
| first_indexed | 2024-09-23T17:06:13Z |
| format | Article |
| id | mit-1721.1/89810 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:06:13Z |
| publishDate | 2014 |
| publisher | Electronic Journal of Combinatorics |
| record_format | dspace |
| spelling | mit-1721.1/898102022-10-03T10:25:11Z Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups Sia, Charmaine Massachusetts Institute of Technology. Department of Mathematics Sia, Charmaine Let D[subscript 2N] be the dihedral group of order 2N, Dic[subscript 4M] the dicyclic group of order 4M, SD[subscript 2m] the semidihedral group of order 2[superscript m], and M[subscript 2m] the group of order 2[superscript m] with presentation M[subscript 2m] = ⟨α,β∣α[superscript 2m−1] = β[superscript 2] = 1, βαβ[superscript −1] = α[superscript 2m−2+1]⟩. We classify the orbits in D[n over 2N], Dic[n over 4M], SD[n over 2m], and M[n over 2m] under the Hurwitz action. National Science Foundation (U.S.) (Grant DMS 0754106) United States. National Security Agency (Grant H98230-06-1-001) Massachusetts Institute of Technology. Department of Mathematics 2014-09-18T16:58:36Z 2014-09-18T16:58:36Z 2009-08 2008-12 Article http://purl.org/eprint/type/JournalArticle http://hdl.handle.net/1721.1/89810 Sia, Charmaine. "Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups." Electronic Journal of Combinatorics, Volume 16, Issue 1 (2009). en_US http://www.combinatorics.org/ojs/index.php/eljc/article/view/v16i1r95 Electronic Journal of Combinatorics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Electronic Journal of Combinatorics Electronic Journal of Combinatorics |
| spellingShingle | Sia, Charmaine Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups |
| title | Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups |
| title_full | Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups |
| title_fullStr | Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups |
| title_full_unstemmed | Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups |
| title_short | Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups |
| title_sort | hurwitz equivalence in tuples of dihedral groups dicyclic groups and semidihedral groups |
| url | http://hdl.handle.net/1721.1/89810 |
| work_keys_str_mv | AT siacharmaine hurwitzequivalenceintuplesofdihedralgroupsdicyclicgroupsandsemidihedralgroups |