1-Designs Constructed from the Groups $PSL_{2}(81)$ and $PSL_{2}(89)$
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)\te...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2022-05-01
|
| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3174_c3b755c7e68c654b8f9adc18da2adff4.pdf |
| Summary: | 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. |
|---|---|
| ISSN: | 2251-7952 2645-4505 |