Applications for the groups S.U.T.(2,p) where p prime upper than 9
The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing the conjugacy classes, cyclic subgroups, the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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College of Education, Al-Iraqia University
2024-01-01
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| Series: | Iraqi Journal for Computer Science and Mathematics |
| Subjects: | |
| Online Access: | https://journal.esj.edu.iq/index.php/IJCM/article/view/831 |
| _version_ | 1797361498408878080 |
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| author | Lemya abd alameer Mahmood S. Fiadh Niran Sabah Jasim Jabbar Abed Eleiwy |
| author_facet | Lemya abd alameer Mahmood S. Fiadh Niran Sabah Jasim Jabbar Abed Eleiwy |
| author_sort | Lemya abd alameer |
| collection | DOAJ |
| description |
The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing the conjugacy classes, cyclic subgroups, the ordinary character table (o.ch.ta.) and the rational valued character table for each group.
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| first_indexed | 2024-03-08T15:54:32Z |
| format | Article |
| id | doaj.art-4b36ee04e45e4510aa39bc71771d37c7 |
| institution | Directory Open Access Journal |
| issn | 2958-0544 2788-7421 |
| language | English |
| last_indexed | 2024-03-08T15:54:32Z |
| publishDate | 2024-01-01 |
| publisher | College of Education, Al-Iraqia University |
| record_format | Article |
| series | Iraqi Journal for Computer Science and Mathematics |
| spelling | doaj.art-4b36ee04e45e4510aa39bc71771d37c72024-01-08T23:05:30ZengCollege of Education, Al-Iraqia UniversityIraqi Journal for Computer Science and Mathematics2958-05442788-74212024-01-015110.52866/ijcsm.2024.05.01.005Applications for the groups S.U.T.(2,p) where p prime upper than 9Lemya abd alameer0Mahmood S. Fiadh1Niran Sabah Jasim2Jabbar Abed Eleiwy3Department of Communication Engineering, University of Technology, Baghdad, IraqDepartment of Computer Science, College of Education, Al-Iraqia University, Baghdad, IraqDepartment of Mathematics, College of Educational for Pure Science lbn Al-Haitham, University of Baghdad, Baghdad, IraqDepartment of Applied Sciences, University of Technology, Baghdad, Iraq The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing the conjugacy classes, cyclic subgroups, the ordinary character table (o.ch.ta.) and the rational valued character table for each group. https://journal.esj.edu.iq/index.php/IJCM/article/view/831Cyclic decomposition, upper triangular subgroup, Artin character, Artin indicator, cyclic subgroups. |
| spellingShingle | Lemya abd alameer Mahmood S. Fiadh Niran Sabah Jasim Jabbar Abed Eleiwy Applications for the groups S.U.T.(2,p) where p prime upper than 9 Iraqi Journal for Computer Science and Mathematics Cyclic decomposition, upper triangular subgroup, Artin character, Artin indicator, cyclic subgroups. |
| title | Applications for the groups S.U.T.(2,p) where p prime upper than 9 |
| title_full | Applications for the groups S.U.T.(2,p) where p prime upper than 9 |
| title_fullStr | Applications for the groups S.U.T.(2,p) where p prime upper than 9 |
| title_full_unstemmed | Applications for the groups S.U.T.(2,p) where p prime upper than 9 |
| title_short | Applications for the groups S.U.T.(2,p) where p prime upper than 9 |
| title_sort | applications for the groups s u t 2 p where p prime upper than 9 |
| topic | Cyclic decomposition, upper triangular subgroup, Artin character, Artin indicator, cyclic subgroups. |
| url | https://journal.esj.edu.iq/index.php/IJCM/article/view/831 |
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