Hurwitz Equivalence in Dihedral Groups
In this paper we determine the orbits of the braid group B[subscript n] action on G[superscript n] when G is a dihedral group and for any T ∈ G[superscript n]. We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its en...
| প্রধান লেখক: | |
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| অন্যান্য লেখক: | |
| বিন্যাস: | প্রবন্ধ |
| ভাষা: | en_US |
| প্রকাশিত: |
Electronic Journal of Combinatorics
2014
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| অনলাইন ব্যবহার করুন: | http://hdl.handle.net/1721.1/89794 |
| _version_ | 1826209202458066944 |
|---|---|
| author | Berger, Emily |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Berger, Emily |
| author_sort | Berger, Emily |
| collection | MIT |
| description | In this paper we determine the orbits of the braid group B[subscript n] action on G[superscript n] when G is a dihedral group and for any T ∈ G[superscript 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. |
| first_indexed | 2024-09-23T14:18:49Z |
| format | Article |
| id | mit-1721.1/89794 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:18:49Z |
| publishDate | 2014 |
| publisher | Electronic Journal of Combinatorics |
| record_format | dspace |
| spelling | mit-1721.1/897942022-10-01T20:33:07Z Hurwitz Equivalence in Dihedral Groups Berger, Emily Massachusetts Institute of Technology. Department of Mathematics Berger, Emily In this paper we determine the orbits of the braid group B[subscript n] action on G[superscript n] when G is a dihedral group and for any T ∈ G[superscript 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. 2014-09-17T16:16:07Z 2014-09-17T16:16:07Z 2011-02 2009-11 Article http://purl.org/eprint/type/JournalArticle 1077-8926 http://hdl.handle.net/1721.1/89794 Berger, Emily. "Hurwitz Equivalence in Dihedral Groups." Electronic Journal of Combinatorics, Volume 18, Issue 1 (2011). en_US http://www.combinatorics.org/ojs/index.php/eljc/article/view/v18i1p45 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 | Berger, Emily Hurwitz Equivalence in Dihedral Groups |
| title | Hurwitz Equivalence in Dihedral Groups |
| title_full | Hurwitz Equivalence in Dihedral Groups |
| title_fullStr | Hurwitz Equivalence in Dihedral Groups |
| title_full_unstemmed | Hurwitz Equivalence in Dihedral Groups |
| title_short | Hurwitz Equivalence in Dihedral Groups |
| title_sort | hurwitz equivalence in dihedral groups |
| url | http://hdl.handle.net/1721.1/89794 |
| work_keys_str_mv | AT bergeremily hurwitzequivalenceindihedralgroups |