Abelian divisible difference sets with multiplier \(-1\)

DOI10.1016/0097-3165(92)90098-FzbMath0755.05010MaRDI QIDQ1185882

Ka Hin Leung, Victor Tan, Siu Lun Ma

Publication date: 28 June 1992

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

zbMATH Keywords

cyclic groupsSylow subgroupabelian divisible difference setsreversible difference sets

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (5)

Strongly regular Cayley graphs with \(\lambda-\mu=-1\) ⋮ Partial difference sets in \(p\)-groups ⋮ Reversible \((m,n,k,\lambda_ 1,\lambda_ 2)\)-abelian divisible difference sets with \(k-\lambda_ 1\) nonsquare ⋮ Relative difference sets fixed by inversion and Cayley graphs ⋮ Almost difference sets and reversible divisible difference sets

Cites Work

• Partial difference sets
• Divisible difference sets with multiplier -1
• Multiplier theorems
• Some non-existence results on divisible difference sets
• On divisible difference sets which are fixed by the inverse
• On Automorphism Groups of Divisible Designs
• On Difference Sets Whose Parameters Satisfy a Certain Relation
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