Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd
In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of elements of the group $PSL(2,q)$ for $q$ a power of...
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| Format: | Article |
| Language: | English |
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Amirkabir University of Technology
2023-02-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_5034_c5372326408c979c353d9c0f64c69683.pdf |
| _version_ | 1797307061850079232 |
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| author | Xavier Mbaale Bernardo Rodrigues Seiran Zandi |
| author_facet | Xavier Mbaale Bernardo Rodrigues Seiran Zandi |
| author_sort | Xavier Mbaale |
| collection | DOAJ |
| description | In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of elements of the group $PSL(2,q)$ for $q$ a power of an odd prime. |
| first_indexed | 2024-03-08T00:51:52Z |
| format | Article |
| id | doaj.art-5eb81e7a8d574892a0f3436befecb98e |
| institution | Directory Open Access Journal |
| issn | 2783-2449 2783-2287 |
| language | English |
| last_indexed | 2024-03-08T00:51:52Z |
| publishDate | 2023-02-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj.art-5eb81e7a8d574892a0f3436befecb98e2024-02-14T19:39:05ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872023-02-0141475510.22060/ajmc.2022.21877.11175034Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ oddXavier Mbaale0Bernardo Rodrigues1Seiran Zandi2Department of Mathematics and Statistics, University of Zambia, Lusaka, ZambiaDepartment of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0028, South AfricaFarzanegan1 High School, Sanandaj, Kurdistan, IranIn this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of elements of the group $PSL(2,q)$ for $q$ a power of an odd prime.https://ajmc.aut.ac.ir/article_5034_c5372326408c979c353d9c0f64c69683.pdflinear groupdesignconjugacy classmaximal subgroupprimitive permutation representation |
| spellingShingle | Xavier Mbaale Bernardo Rodrigues Seiran Zandi Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd AUT Journal of Mathematics and Computing linear group design conjugacy class maximal subgroup primitive permutation representation |
| title | Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd |
| title_full | Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd |
| title_fullStr | Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd |
| title_full_unstemmed | Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd |
| title_short | Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd |
| title_sort | designs from maximal subgroups and conjugacy classes of mathrm psl 2 q q odd |
| topic | linear group design conjugacy class maximal subgroup primitive permutation representation |
| url | https://ajmc.aut.ac.ir/article_5034_c5372326408c979c353d9c0f64c69683.pdf |
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