Block designs with \(\gcd(r,\lambda)=1\) admitting flag-transitive automorphism groups

DOI10.1007/s00025-022-01697-2zbMath1493.05033arXiv2204.02439OpenAlexW4226330121MaRDI QIDQ2152597

Pierluigi Rizzo, Yongli Zhang, Xiaoqin Zhan, Yajie Wang, Eliana Francot, Delu Tian, Haiyan Guan, Fatemeh Mouseli, Alessandro Montinaro, Shenglin Zhou, Ashraf Daneshkhah, Mauro Biliotti, Mohsen Bayat, Yan Zhu, Seyed Hassan Alavi

Publication date: 8 July 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02439

zbMATH Keywords

2-designflag-transitive automorphism group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) General block designs in finite geometry (51E05)

Related Items

Classification of the non-trivial \(2\)-\((k^2,k, \lambda )\) designs, with \(\lambda |k\), admitting a flag-transitive almost simple automorphism group ⋮ Flag-transitive 2-designs with \((r - \lambda ,k)=1\) and alternating socle ⋮ Flag-transitive 2-designs with prime square replication number and alternating groups ⋮ A classification of flag-transitive \(2\)-\((k^2, k, \lambda)\) designs with \(\lambda\mid k\) ⋮ On flag-transitive automorphism groups of 2-designs

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