A construction of designs on \(n+1\) points from multiply homogeneous permutation groups of degree \(n\)

DOI10.1016/j.jcta.2009.07.011zbMath1228.05076OpenAlexW2017125158MaRDI QIDQ965222

Izumi Miyamoto

Publication date: 21 April 2010

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2009.07.011

zbMATH Keywords

\(t\)-designprojective special linear grouphomogeneous permutation group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) General theory for finite permutation groups (20B05)

Related Items (1)

Unifying some known infinite families of combinatorial 3-designs

Uses Software

• GAP
• DISCRETA

Cites Work

• 3-designs from \(\text{PSL}(2,q)\)
• On the construction of \(t\)-designs and the existence of some new infinite families of simple 5-designs
• Orbits on the projective line
• t-designs on hypergraphs
• Transitivity of finite permutation groups on unordered sets
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