A generalization of cyclic difference sets. I

DOI10.1016/0097-3165(75)90091-6zbMath0303.05017OpenAlexW4206808339MaRDI QIDQ1216406

Clement Wing Hong Lam

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0097-3165(75)90091-6

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Power residues, reciprocity (11A15) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (19)

The g-circulant solutions of \(A^ m=\lambda J\) ⋮ \(g\)-circulant solutions to the (0,1) matrix equation \(A^m=J_n\) ⋮ On expressing elements as a sum of squares, where one square is restricted to a subfield ⋮ A directed graph version of strongly regular graphs ⋮ On the matrix equation \(A^m=\lambda J\) ⋮ Multiplier theorems ⋮ Relative addition sets and partially balanced incomplete block designs ⋮ Unnamed Item ⋮ Lam's power residue addition sets ⋮ A generalization of cyclic difference sets. II ⋮ N-th power residue addition sets ⋮ On some solutions of \(A^k=dI+\lambda J\) ⋮ Sum sequences modulo \(n\) ⋮ Cyclotomy and addition sets ⋮ Perfect addition sets ⋮ \(X^k\)-digraphs ⋮ Difference sets and intercalation pairs ⋮ A generalization of group difference sets and the matrix equation \(A^m=dI+\lambda(J)\) ⋮ Addition sets in a finite group

Cites Work

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• A generalization of cyclic difference sets. II
• A generalization of the matrix equation \(A^ 2=J\)
• Cyclic difference sets
• On Orthogonal Matrices
• Notes on central groupoids
• The Inverse Multiplier for Abelian Group Difference Sets
• On Residue Difference Sets

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