The Artin's Exponent of A Special Linear Group SL(2,2k)
The set of all n×n non singular matrices over the field F form a group underthe operation of matrix multiplication, This group is called the general linear groupof dimension n over the field F, denoted by GL(n,F) .The subgroup from this group is called the special linear group denoted by SL(n,F).We...
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2010-05-01
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| Series: | Engineering and Technology Journal |
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| Online Access: | https://etj.uotechnology.edu.iq/article_27449_d75cf044696fcc78013d1736d2e46aee.pdf |
| _version_ | 1797325359382790144 |
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| author | Mohammed Serdar I.Kirdar Lemia Abd Alameer Hadi |
| author_facet | Mohammed Serdar I.Kirdar Lemia Abd Alameer Hadi |
| author_sort | Mohammed Serdar I.Kirdar |
| collection | DOAJ |
| description | The set of all n×n non singular matrices over the field F form a group underthe operation of matrix multiplication, This group is called the general linear groupof dimension n over the field F, denoted by GL(n,F) .The subgroup from this group is called the special linear group denoted by SL(n,F).We take n=2 and F=2k where k natural, k>1. Thus we have SL (2,2k).Our work in this thesis is to find the Artin's exponent from the cyclic subgroups ofthese groups and the character table of it's.Then we have that: a SL(2,2k ) is equal to 2k-1 . |
| first_indexed | 2024-03-08T06:08:24Z |
| format | Article |
| id | doaj.art-41030720ea924f7f8cd6fa67ee92dbca |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:08:24Z |
| publishDate | 2010-05-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-41030720ea924f7f8cd6fa67ee92dbca2024-02-04T17:45:42ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582010-05-0128101924193310.30684/etj.28.10.527449The Artin's Exponent of A Special Linear Group SL(2,2k)Mohammed Serdar I.KirdarLemia Abd Alameer HadiThe set of all n×n non singular matrices over the field F form a group underthe operation of matrix multiplication, This group is called the general linear groupof dimension n over the field F, denoted by GL(n,F) .The subgroup from this group is called the special linear group denoted by SL(n,F).We take n=2 and F=2k where k natural, k>1. Thus we have SL (2,2k).Our work in this thesis is to find the Artin's exponent from the cyclic subgroups ofthese groups and the character table of it's.Then we have that: a SL(2,2k ) is equal to 2k-1 .https://etj.uotechnology.edu.iq/article_27449_d75cf044696fcc78013d1736d2e46aee.pdflinear groupspecial groupexponent |
| spellingShingle | Mohammed Serdar I.Kirdar Lemia Abd Alameer Hadi The Artin's Exponent of A Special Linear Group SL(2,2k) Engineering and Technology Journal linear group special group exponent |
| title | The Artin's Exponent of A Special Linear Group SL(2,2k) |
| title_full | The Artin's Exponent of A Special Linear Group SL(2,2k) |
| title_fullStr | The Artin's Exponent of A Special Linear Group SL(2,2k) |
| title_full_unstemmed | The Artin's Exponent of A Special Linear Group SL(2,2k) |
| title_short | The Artin's Exponent of A Special Linear Group SL(2,2k) |
| title_sort | artin s exponent of a special linear group sl 2 2k |
| topic | linear group special group exponent |
| url | https://etj.uotechnology.edu.iq/article_27449_d75cf044696fcc78013d1736d2e46aee.pdf |
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