ON A DESIGN FROM PRIMITIVE REPRESENTATIONS OF THE FINITE SIMPLE GROUPS

Ali Reza Rahimipour

DOI Number
https://doi.org/10.22190/FUMI1904771R
First page
771
Last page
780

Abstract


In this paper we present a design construction from primitive permutation representations of a finite simple group G. The group G acts primitively on
the points and transitively on the blocks of the design. The construction has this property that with some conditions we can obtain t-design for t >=2. We examine our design for fourteen sporadic simple groups. As a result we found a 2-(176,5,4) design with full automorphism group M22.

Keywords

primitive permutation; group; finite simple group; automorphism group

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References


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DOI: https://doi.org/10.22190/FUMI1904771R

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