Semiregular relative difference sets in 2-groups containing a cyclic subgroup of index 2

DOI10.1006/JCTA.2002.3280zbMath0997.05017OpenAlexW2011346509MaRDI QIDQ696918

Yutaka Hiramine

Publication date: 12 September 2002

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

Full work available at URL: https://semanticscholar.org/paper/23109da88db6b3de12bc905ea3a588019b6ae431

zbMATH Keywords

dihedral groupabelian grouprelative difference setHadamard difference setcyclic subgroupgeneralized quaternion group

Mathematics Subject Classification ID

Finite abelian groups (20K01) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (1)

On \((2n,2,2n,n)\) relative difference sets

Cites Work

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• Partial difference triples
• On the structure of Abelian groups admitting divisible difference sets
• On \((p^ a,p^ b,p^ a,p^{a-b})\)-relative difference sets
• Hadamard and conference matrices
• Finite geometry and character theory
• On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets
• Relative difference sets, planar functions, and generalized Hadamard matrices
• Character sums and difference sets

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