Skew-Hadamard Abelian group difference sets

DOI10.1016/0021-8693(66)90029-9zbMath0178.33502OpenAlexW2138585616MaRDI QIDQ2533877

Eugene C. Johnsen

Publication date: 1966

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(66)90029-9

zbMATH Keywords

combinatorics

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items

An exponent bound on skew Hadamard abelian difference sets ⋮ Skew Hadamard difference sets from the Ree-Tits slice symplectic spreads in PG\((3,3^{2h+1})\) ⋮ A family of skew Hadamard difference sets ⋮ Even tournaments and Hadamard tournaments ⋮ Almost difference sets in nonabelian groups ⋮ Non-Abelian skew Hadamard difference sets fixed by a prescribed automorphism ⋮ Further results on planar DO functions and commutative semifields ⋮ Abelian and non-abelian Paley type group schemes ⋮ A survey of nested designs ⋮ Paley type sets from cyclotomic classes and Aarasu-Dillon-Player difference sets ⋮ Antisymmetric difference sets ⋮ Paley type group schemes and planar Dembowski-Ostrom polynomials ⋮ Some results on skew Hadamard difference sets ⋮ Some results on roots of unity, with an application to a diophantine problem ⋮ Automorphism groups of designs ⋮ Special subsets of difference sets with particular emphasis on skew Hadamard difference sets ⋮ Combinatorial structures in loops. I: Elements of the decomposition theory ⋮ A constructive solution to a problem of ranking tournaments ⋮ Recent progress in algebraic design theory ⋮ Hadamard tournaments with transitive automorphism groups ⋮ Hadamard and conference matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral solutions to the incidence equation for finite projective plane cases of orders \(n \equiv 2\pmod 4\)
• Hadamard's determinant theorem and the sum of four squares
• On Orthogonal Matrices
• Hadamard Matrices of Order Cube Plus One
• The Inverse Multiplier for Abelian Group Difference Sets
• A Note on a Combinatorial Problem
• A Characteristic Property of Quadratic Residues
• Difference Sets in a Finite Group