The Coxeter group Dn
We show that the Coxeter group Dn is the split extension of n−1 copies of Z2 by Sn for a given action of Sn described in the paper. We also find the centre of Dn and some of its other important subgroups.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002167 |
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| _version_ | 1832545652411727872 |
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| author | M. A. Albar Norah Al-Saleh |
| author_facet | M. A. Albar Norah Al-Saleh |
| author_sort | M. A. Albar |
| collection | DOAJ |
| description | We show that the Coxeter group Dn is the split extension of
n−1 copies of Z2 by Sn for a given action of Sn described in the paper. We also find the centre of Dn and some
of its other important subgroups. |
| format | Article |
| id | doaj-art-7e9fd3675b9e4ee8985b0fe319ec6621 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7e9fd3675b9e4ee8985b0fe319ec66212025-02-03T07:25:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241071572010.1155/S0161171200002167The Coxeter group DnM. A. Albar0Norah Al-Saleh1Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi ArabiaDepartment of Mathematics, College of Girls, Dammam, Saudi ArabiaWe show that the Coxeter group Dn is the split extension of n−1 copies of Z2 by Sn for a given action of Sn described in the paper. We also find the centre of Dn and some of its other important subgroups.http://dx.doi.org/10.1155/S0161171200002167Coxeter groupsplit extension. |
| spellingShingle | M. A. Albar Norah Al-Saleh The Coxeter group Dn International Journal of Mathematics and Mathematical Sciences Coxeter group split extension. |
| title | The Coxeter group Dn |
| title_full | The Coxeter group Dn |
| title_fullStr | The Coxeter group Dn |
| title_full_unstemmed | The Coxeter group Dn |
| title_short | The Coxeter group Dn |
| title_sort | coxeter group dn |
| topic | Coxeter group split extension. |
| url | http://dx.doi.org/10.1155/S0161171200002167 |
| work_keys_str_mv | AT maalbar thecoxetergroupdn AT norahalsaleh thecoxetergroupdn AT maalbar coxetergroupdn AT norahalsaleh coxetergroupdn |