Designs from the groups PSL2(q) for certain q
M. R. Darafsheh, Ali Iranmanesh, Reza Kahkeshani
Abstract
M. R. Darafsheh, Ali Iranmanesh, Reza Kahkeshani
Abstract
Using primitive actions of the projective special linear groups PSL2(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 PSL2(q), q = 37, 41, 43, 47 and 49 appear as the automorphism group of the constructed designs.
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Using primitive actions of the projective special linear groups PSL2(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 PSL2(q), q = 37, 41, 43, 47 and 49 appear as the automorphism group of the constructed designs.
Key concepts: Mathematics, PSL, Automorphism, Automorphism group, p-group, Inner automorphism, Outer automorphism group, Group (periodic table)