Chain-imprimitive, flag-transitive 2-designs

DOI10.1007/S10623-024-01400-2MaRDI QIDQ6591957

Alice Devillers, Cheryl E. Praeger, Carmen Amarra

Publication date: 23 August 2024

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

2-designflag-transitiveblock-transitivepoint-imprimitivepartition chain

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• Constructing flag-transitive, point-imprimitive designs
• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• Imprimitive flag-transitive symmetric designs
• Flag-transitive symmetric 2-(96,20,4)-designs
• Flag-transitivity and primitivity
• The Magma algebra system. I: The user language
• On primitivity and reduction for flag-transitive symmetric designs
• On flag-transitive \(2\)-\((v,k,2)\) designs
• Flag-transitive, point-imprimitive \(2\)-\((v,k,\lambda )\) symmetric designs with \(k\) and \(\lambda\) prime powers
• Flag-transitive \(2\text{-}(v,k,\lambda)\) designs with \(r>\lambda(k-3)\)
• Flag-transitive and point-imprimitive symmetric designs with \(\lambda \leq 10\)
• The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair
• Generalized Wreath Products of Permutation Groups
• Permutation Groups and Cartesian Decompositions
• Groups \(S_n \times S_m\) in construction of flag-transitive block designs
• Analysing flag-transitive point-imprimitive 2-designs
• Block-transitive 2-designs with a chain of imprimitive point-partitions
• On flag-transitive imprimitive 2-designs

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