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- Title
Sporadic simple groups as flag‐transitive automorphism groups of symmetric designs.
- Authors
Alavi, Seyed Hassan; Daneshkhah, Ashraf
- Abstract
In 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.
- Subjects
AUTOMORPHISM groups; AUTOMORPHISMS; PERMUTATION groups
- Publication
Journal of Combinatorial Designs, 2024, Vol 32, Issue 3, p127
- ISSN
1063-8539
- Publication type
Article
- DOI
10.1002/jcd.21928