Symmetric divisible designs with \(k-\lambda{}_ 1=1\)

DOI10.1016/0012-365X(91)90418-2zbMath0762.05017MaRDI QIDQ1183964

Alexander Pott, K. T. Arasu, Dieter Jungnickel

Publication date: 28 June 1992

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

strongly regular graphsSinger grouppartial difference setcomplete classificationsymmetric divisible designscyclic divisible difference setsPaley Hadamard difference set

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (4)

A survey of partial difference sets ⋮ Strongly regular Cayley graphs with \(\lambda-\mu=-1\) ⋮ Partial difference sets in \(p\)-groups ⋮ Almost difference sets and reversible divisible difference sets

Cites Work

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• Partial difference sets
• Divisible difference sets with multiplier -1
• Polynomial addition sets and polynomial digraphs
• Multiplier theorems
• On divisible difference sets which are fixed by the inverse
• On Automorphism Groups of Divisible Designs
• Combinatorial Properties of Group Divisible Incomplete Block Designs
• Some Relations among the Blocks of Symmetrical Group Divisible Designs
• A Characteristic Property of Quadratic Residues

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