On some designs constructed from the groups $PSL_{2}(q)$, $q=53,61,64$
نویسندگان
1 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
doi
10.22034/as.2020.1718چکیده
In this paper, we use the primitive permutation representations of the simple groups $PSL_2(53)$, $PSL_2(61)$ and $PSL_2(64)$ and construct 1-designs by the Key-Moori Method 1.It is shown that the groups $PSL_2(53)$, $PSL_2(53)\text{:}2$, $PSL_2(61)$, $PSL_2(61)\text{:}2$, $PSL_2(64)$, $PSL_2(64)\text{:}2$, $PSL_2(64)\text{:}3$ and $PSL_2(64)\text{:}6$ appear as the full automorphism groups of these obtained designs.
