| Authors | M. R. Darafsheh-A. Iranmanesh-R. Kahkeshani |
|---|---|
| Journal | Quaestiones Mathematicae |
| Paper Type | Full Paper |
| Published At | 2009-04 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | South Africa |
Abstract
Using primitive actions of the projective special linear groups $PSL_2(q)$, $q =$ 37, 41, 43, 47 and 49 some 1-designs are constructed. The automorphism group of all the constructed designs are found. It is shown that all subgroups of the automorphism group of $PSL_2(q)$, $q = $37, 41, 43, 47 and 49 appear as the automorphism group of the constructed designs.