Relative difference sets fixed by inversion. III: Cocycle theoretical approach

DOI10.1016/j.disc.2006.06.040zbMath1159.05009OpenAlexW2019234502MaRDI QIDQ924960

Yu Qing Chen, Wei-Hung Liu, Kathy Horadam

Publication date: 29 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.06.040

zbMATH Keywords

relative difference setgeneralized Hadamard matrixorthogonal cocyclespecial \(p\)-group

Mathematics Subject Classification ID

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

Related Items

Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles ⋮ Twisted product of cocycles and factorization of semi-regular relative difference sets ⋮ Relative difference sets fixed by inversion and Cayley graphs ⋮ Relative difference sets in semidirect products with an amalgamated subgroup ⋮ Paley type group schemes and planar Dembowski-Ostrom polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Divisible difference sets with multiplier -1
• Generalized Hadamard matrices and colourable designs in the construction of regular GDDs with two and three association classes
• A construction for generalized Hadamard matrices
• Some p-groups of Frobenius and extra-special type
• Distance regular covers of the complete graph
• Reversible relative difference sets
• Cocyclic generalised Hadamard matrices and central relative difference sets
• A new construction of central relative \((p^a,p^a,p^a,1)\)-difference sets
• Relative difference sets fixed by inversion and Cayley graphs
• Relative difference sets fixed by inversion. II: Character theoretical approach
• Constructions of Partial Difference Sets and Relative Difference Sets on p -Groups