Non-abelian Hadamard difference sets

DOI10.1016/0097-3165(95)90084-5zbMath0818.05015OpenAlexW1992826204MaRDI QIDQ1347257

Ken W. Smith

Publication date: 4 April 1995

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(95)90084-5

zbMATH Keywords

difference setHadamard difference setsabelian difference setnon-abelian difference set

Mathematics Subject Classification ID

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

Related Items

Unnamed Item ⋮ Bi-Cayley normal uniform multiplicative designs ⋮ The solution of the Waterloo problem ⋮ On the existence of Hadamard difference sets in groups of order 400 ⋮ A note on almost difference sets in nonabelian groups ⋮ On difference sets in groups of order \(4p^ 2\) ⋮ The combinatorics of binary arrays ⋮ Relative difference sets with \(n=2\) ⋮ Linear codes and the existence of a reversible Hadamard difference set in \(\mathbb{Z}_ 2\times \mathbb{Z}_ 2\times \mathbb{Z}_ 5^ 4\) ⋮ A unifying construction for difference sets ⋮ Some REALLY beautiful Hadamard matrices ⋮ Non-Abelian skew Hadamard difference sets fixed by a prescribed automorphism ⋮ Unnamed Item ⋮ Semi-regular relative difference sets with large forbidden subgroups ⋮ Tightening Turyn's bound for Hadamard difference sets ⋮ New difference sets in nonabelian groups of order 100 ⋮ Difference sets disjoint from a subgroup. II: Groups of order \(4p^2\) ⋮ An algorithm for enumerating difference sets ⋮ Recent progress in algebraic design theory ⋮ ON THE EXISTENCE OF A CLASS OF (v, k, λ) DIFFERENCE SETS WITH k < 350, n = m², m = 5, 8, 9, 11, 13, 14 AND v ≡ 0 MOD 68

Cites Work

• Sub-difference sets of Hadamard difference sets
• Some infinite classes of special Williamson matrices and difference sets
• Abelian difference sets with multiplier minus one
• A Survey of Difference Sets
• A generalization of a result of Newman on multipliers of difference sets
• Difference Sets in a Finite Group
• A family of difference sets having -1 as an invariant
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item