Some new 3-designs from \(PSL(2,q)\) with \(q \equiv 1 \pmod 4\)

DOI10.1007/s11425-012-4454-3zbMath1257.05016OpenAlexW2267076566MaRDI QIDQ1933966

JianXiong Tang, Wei-jun Liu, Yixiang Wu

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4454-3

zbMATH Keywords

automorphism groupsprojective lineprojective special linear groupssimple 3-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Multiply transitive finite groups (20B20)

Related Items (6)

Steiner systems \(S(2,4, 2^m)\) supported by a family of extended cyclic codes ⋮ Orbits on \(k\)-subsets of \(2\)-transitive simple Lie-type groups ⋮ Weight distribution of preparata codes over \(Z_4\) and the construction of 3-designs ⋮ Flag-transitive 4-designs and \(\mathrm{PSL}(2, q)\) groups ⋮ Partial geometric designs from group actions ⋮ Flag-transitive 2-designs from \(\mathrm{PSL}(2, q)\) with block size 4

Cites Work

• 3-designs from \(\text{PSL}(2,q)\)
• Simple 3-designs and PSL\((2,q )\) with \(q \equiv 1\pmod4\)
• \(3\)-designs from PGL\((2,q)\)
• Quadruple systems of the projective special linear group PSL(2,q),q ? 1 (mod 4)
• Endliche Gruppen I

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