1-Designs Constructed from the Groups $PSL_{2}(81)$ and $PSL_{2}(89)$
| Autor: | Reza Kahkeshani |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Mahani Mathematical Research, Vol 11, Iss 2, Pp 1-8 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2251-7952 2645-4505 |
| DOI: | 10.22103/jmmrc.2022.18186.1166 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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