Flag-transitive, point-imprimitive \(2\)-\((v,k,\lambda )\) symmetric designs with \(k\) and \(\lambda\) prime powers

DOI10.1007/s10623-021-00869-5zbMath1475.05014OpenAlexW3143323128MaRDI QIDQ2034990

Jianfu Chen, Shenglin Zhou

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1007/s10623-021-00869-5

zbMATH Keywords

symmetric designautomorphism groupprimitivityflag-transitive design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial aspects of finite geometries (05B25)

Cites Work

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• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• 2-transitive and antiflag transitive collineation groups of finite projective spaces
• Geometric ABA-groups
• Imprimitive flag-transitive symmetric designs
• Flag-transitivity and primitivity
• On primitivity and reduction for flag-transitive symmetric designs

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