2009•Quaestiones MathematicaeRequires access
Designs from the groups PSL 2 ( q ) for certain q
Darafsheh, Ali Iranmanesh, Reza Kahkeshani
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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. Quaestiones Mathematicae 32 (2009), 297–306