Combinatorial structures in loops. I: Elements of the decomposition theory

DOI10.1016/0097-3165(73)90017-4zbMath0255.05004OpenAlexW1988823901MaRDI QIDQ2558223

Thomas Storer, Eugene C. Johnsen

Publication date: 1973

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

Full work available at URL: http://hdl.handle.net/2027.42/33925

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Loops, quasigroups (20N05)

Related Items (2)

Combinatorial structures in loops. III. Difference sets in special cyclic neofields ⋮ Cyclic neofields and cyclic Steiner 2-designs with block size 4

Cites Work

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• Integral solutions to the incidence equation for finite projective plane cases of orders \(n \equiv 2\pmod 4\)
• Tournaments and Hadamard matrices
• Skew-Hadamard Abelian group difference sets
• \((v,k,\lambda)\)-graphs and polarities of \((v,k,\lambda)\)-designs
• Cyclic difference sets
• Recent Advances in Difference Sets
• On a combinatorial generalization of 27 lines associated with a cubic surface
• A special permutation matrix decomposition for combinatorial design incidence matrices
• The Inverse Multiplier for Abelian Group Difference Sets
• Difference Sets in a Finite Group

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