Sporadic simple groups as flag‐transitive automorphism groups of symmetric designs
Copyright policy )Sporadic simple groups as flag‐transitive automorphism groups of symmetric designs
AbstractIn this article, we study symmetric designs admitting flag‐transitive, point‐imprimitive almost simple automorphism groups with socle sporadic simple groups. As a corollary, we present a classification of symmetric designs admitting flag‐transitive automorphism group whose socle is a sporadic simple group, and in conclusion, there are exactly seven such designs, one of which admits a point‐imprimitive automorphism group and the remaining are point‐primitive.
- Bu-Ali Sina University Iran (Islamic Republic of)
Finite automorphism groups of algebraic, geometric, or combinatorial structures, flag-transitive, Group Theory (math.GR), Combinatorial aspects of block designs, Group actions on combinatorial structures, 05B05, 05B25, 20B25, 20D08, sporadic simple groups, FOS: Mathematics, Mathematics - Combinatorics, Combinatorial aspects of finite geometries, Combinatorics (math.CO), symmetric design, Mathematics - Group Theory, Simple groups: sporadic groups
Finite automorphism groups of algebraic, geometric, or combinatorial structures, flag-transitive, Group Theory (math.GR), Combinatorial aspects of block designs, Group actions on combinatorial structures, 05B05, 05B25, 20B25, 20D08, sporadic simple groups, FOS: Mathematics, Mathematics - Combinatorics, Combinatorial aspects of finite geometries, Combinatorics (math.CO), symmetric design, Mathematics - Group Theory, Simple groups: sporadic groups
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