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1-Designs Constructed from the Groups $PSL_{2}(81)$ and $PSL_{2}(89)$ | ||
| Journal of Mahani Mathematical Research | ||
| دوره 11، شماره 2 - شماره پیاپی 22، مرداد 2022، صفحه 1-8 اصل مقاله (482.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2022.18186.1166 | ||
| نویسنده | ||
| Reza Kahkeshani* | ||
| Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran. | ||
| چکیده | ||
| In this paper, some designs from the primitive permutation representations of the groups $PSL_2(81)$ and $PSL_2(89)$ are constructed using the Key-Moori Method 1. We determine the automorphism groups of all the obtained designs and prove that the groups $PSL_2(81)$, $PSL_2(81){}^{.}2$, $PSL_2(81)\text{:}2$, $PGL_2(81)$, $P\Sigma L_2(81)$, $P\Gamma L_2(81)$, $PSL_2(89)$ and $PSL_2(89)\text{:}2$ appear as the automorphism groups of these constructed designs. | ||
| کلیدواژه‌ها | ||
| Design؛ Group action؛ Automorphism group؛ Projective special linear group | ||
| مراجع | ||
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