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Flag-Transitive Block Designs and Finite Simple Exceptional Groups of Lie Type

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In this article, we study 2-designs with $$\gcd (r,\lambda )=1$$ gcd ( r , λ ) = 1 admitting a flag-transitive almost simple automorphism group with socle a finite simple… Click to show full abstract

In this article, we study 2-designs with $$\gcd (r,\lambda )=1$$ gcd ( r , λ ) = 1 admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type. We obtain four infinite families of such designs and provide some examples in each of these families.

Keywords: transitive block; flag transitive; lie type; block designs; simple exceptional; finite simple

Journal Title: Graphs and Combinatorics
Year Published: 2020

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