| Authors | R. Kahkeshani |
|---|---|
| Journal | Algebraic Structures and Their Applications |
| Presented by | University of Kashan |
| Page number | 59-67 |
| Paper Type | Original Research |
| Published At | 2020-01-08 |
| Journal Grade | Scientific - research |
| Journal Type | Electronic |
| Journal Country | Iran, Islamic Republic Of |
Abstract
In this paper, we use the primitive permutation representations of the simple groups PSL2(53)PSL2(53), PSL2(61)PSL2(61) and PSL2(64)PSL2(64) and construct 1-designs by the Key-Moori Method 1.
It is shown that the groups PSL2(53)PSL2(53), PSL2(53):2PSL2(53):2, PSL2(61)PSL2(61), PSL2(61):2PSL2(61):2, PSL2(64)PSL2(64), PSL2(64):2PSL2(64):2, PSL2(64):3PSL2(64):3 and PSL2(64):6PSL2(64):6 appear as the full automorphism groups of these obtained designs.