Articles

Designs from the groups PSL₂(q) for certain q

Published in: Quaestiones Mathematicae
Volume 32 , issue 3 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 297–306

DOI: 10.2989/QM.2009.32.3.2.903

Author(s): M.R. Darafsheh School of Mathematics, College of Science, Iran, A. Iranmanesh Department of Mathematics, Faculty of Basic Sciences, Iran, R. Kahkeshani Department of Mathematics, Faculty of Basic Sciences, Iran,

Keywords: Design, automorphism group, projective special linear group,

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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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