Algebraic duality theorems with combinatorial applications

DOI10.1016/0024-3795(78)90066-6zbMath0394.05012OpenAlexW2005176496MaRDI QIDQ1252243

K. Appert

Publication date: 1978

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90066-6

zbMATH Keywords

Algebraic Duality TheoremsCombinatorial ApplicationsDual Structure of Combinatorial DesignsLinear TransformationsNear Square DesignsPartial Geometric DesignsTactical Decompositions

Mathematics Subject Classification ID

Other designs, configurations (05B30) Linear transformations, semilinear transformations (15A04)

Related Items (4)

A survey of some problems in combinatorial designs - a matrix approach ⋮ Applications of algebraic duality to group divisible structures ⋮ Rational G-matrices with rational eigenvalues ⋮ Tactical decompositions of designs

Cites Work

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• A characterization of partial geometric designs
• On resolutions and Bose's theorem
• Replication results for certain combinatorial configurations
• On the replications of certain multiplicative designs
• An extension of a theorem of the Bruijn and Erdős on combinatorial designs
• Symmetric designs and related configurations
• Near 1-designs
• Modular Hadamard matrices and related designs
• On Strong Tactical Decompositions
• Square λ-Linked Designs
• On the orbits of collineation groups

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