فهرست نشریات علمی دسترسی آزاد ایران

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.