Steiner quadruple systems with point-regular abelian automorphism groups

DOI10.1080/15598608.2012.647536zbMath1418.05028arXiv0910.2759OpenAlexW2093764065MaRDI QIDQ2320745

Akihiro Munemasa, Masanori Sawa

Publication date: 27 August 2019

Published in: Journal of Statistical Theory and Practice, Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2759

zbMATH Keywords

designautomorphism groupSteiner systemcombinatorial designdifference familyfinite groupsimplicity

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Steiner systems in finite geometry (51E10) Permutation groups (20B99)

Related Items (7)

New optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4 ⋮ On affine-invariant two-fold quadruple systems ⋮ Unifying some known infinite families of combinatorial 3-designs ⋮ Affine-invariant strictly cyclic Steiner quadruple systems ⋮ Symmetric abelian group-invariant Steiner quadruple systems ⋮ Constructions of dihedral Steiner quadruple systems ⋮ Steiner quadruple systems with point-regular abelian automorphism groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Einige einfache fahnenhomogene 3-Blockpläne
• The Steiner quadruple systems of order 16
• Constructions for strictly cyclic 3-designs and applications to optimal OOCs with \(\lambda =2\)
• Almost simple groups with socle \(L_n(q)\) acting on Steiner quadruple systems
• Some remarks on the construction of cyclic Steiner quadruple systems
• On resolvable designs \(S_ 3(3;4,v)\)
• On the existence of cyclic Steiner quadruple systems SQS(2p)
• Zyklische Quadrupelsysteme
• The last packing number of quadruples, and cyclic SQS
• A number theoretic conjecture and the existence of \(S\)-cyclic Steiner quadruple systems
• Steiner quadruple systems with point-regular abelian automorphism groups
• k-difference-cycles and the construction of cyclic t-designs
• Optical Orthogonal Signature Pattern Codes With Maximum Collision Parameter $2$ and Weight $4$
• On t-Designs and Groups
• On Some Tactical Configurations
• Recursive constructions for 3-designs and resolvable 3-designs

This page was built for publication: Steiner quadruple systems with point-regular abelian automorphism groups