Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space
The aim of this paper is to construct cyclic subgroups of the projective general linear group over from the companion matrix, and then form caps of various degrees in . Geometric properties of these caps as secant distributions and index distributions are given and determined if they are complete....
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2022-08-01
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| Series: | Baghdad Science Journal |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6229 |
| _version_ | 1818472477987176448 |
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| author | Emad Bakr Al-Zangana Nada Yassen Kasm Yahya |
| author_facet | Emad Bakr Al-Zangana Nada Yassen Kasm Yahya |
| author_sort | Emad Bakr Al-Zangana |
| collection | DOAJ |
| description |
The aim of this paper is to construct cyclic subgroups of the projective general linear group over from the companion matrix, and then form caps of various degrees in . Geometric properties of these caps as secant distributions and index distributions are given and determined if they are complete. Also, partitioned of into disjoint lines is discussed.
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| first_indexed | 2024-04-14T04:09:15Z |
| format | Article |
| id | doaj.art-24b8bbd2229441cf914ccb2d7fe1dc5f |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-04-14T04:09:15Z |
| publishDate | 2022-08-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-24b8bbd2229441cf914ccb2d7fe1dc5f2022-12-22T02:13:16ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862022-08-0119410.21123/bsj.2022.19.4.0805Subgroups and Orbits by Companion Matrix in Three Dimensional Projective SpaceEmad Bakr Al-Zangana0Nada Yassen Kasm Yahya1Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.Department of Mathematics, College of Education for Pure Science, Mosul University, Mosul, Iraq. The aim of this paper is to construct cyclic subgroups of the projective general linear group over from the companion matrix, and then form caps of various degrees in . Geometric properties of these caps as secant distributions and index distributions are given and determined if they are complete. Also, partitioned of into disjoint lines is discussed. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6229Cap, Companion matrix, Group action, Projective geometry, Secant |
| spellingShingle | Emad Bakr Al-Zangana Nada Yassen Kasm Yahya Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space Baghdad Science Journal Cap, Companion matrix, Group action, Projective geometry, Secant |
| title | Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space |
| title_full | Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space |
| title_fullStr | Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space |
| title_full_unstemmed | Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space |
| title_short | Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space |
| title_sort | subgroups and orbits by companion matrix in three dimensional projective space |
| topic | Cap, Companion matrix, Group action, Projective geometry, Secant |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6229 |
| work_keys_str_mv | AT emadbakralzangana subgroupsandorbitsbycompanionmatrixinthreedimensionalprojectivespace AT nadayassenkasmyahya subgroupsandorbitsbycompanionmatrixinthreedimensionalprojectivespace |