Flag-transitive 2-designs from \(\mathrm{PSL}(2, q)\) with block size 4

DOI10.1007/S10623-019-00648-3zbMath1422.05023OpenAlexW2947079277WikidataQ127820870 ScholiaQ127820870MaRDI QIDQ2329409

Suyun Ding, Xiaoqin Zhan, Shuyi Bai

Publication date: 17 October 2019

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

Full work available at URL: https://doi.org/10.1007/s10623-019-00648-3

zbMATH Keywords

automorphism2-designflag-transitiveprojective linear group

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)

Related Items (1)

Flag-transitive 4-designs and \(\mathrm{PSL}(2, q)\) groups

Cites Work

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• Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups
• Flag-transitive finite simple groups
• Flag-transitivity and primitivity
• Non-symmetric 2-designs admitting a two-dimensional projective linear group
• Some new 3-designs from \(PSL(2,q)\) with \(q \equiv 1 \pmod 4\)
• A census of highly symmetric combinatorial designs
• The classification of almost simple $\tfrac {3}{2}$-transitive groups
• The Rank 3 Permutation Representations of the Finite Classical Groups
• Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5
• Quadruple systems of the projective special linear group PSL(2,q),q ? 1 (mod 4)
• 3-Designs of PSL(2, 2n) With block sizes 4 and 5

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