On the structure of Abelian groups admitting divisible difference sets

DOI10.1016/0097-3165(94)90020-5zbMath0801.05014OpenAlexW2028707346MaRDI QIDQ1320387

Alexander Pott

Publication date: 19 April 1994

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(94)90020-5

zbMATH Keywords

projective planesdifference setsSinger group\((n,\lambda)\)-netexponent bounds

Mathematics Subject Classification ID

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

Related Items

On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets ⋮ On \((p^ a,p^ b,p^ a,p^{a-b})\)-relative difference sets ⋮ A unifying construction for difference sets ⋮ Two applications of relative difference sets: difference triangles and negaperiodic autocorrelation functions ⋮ Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction ⋮ Semi-regular relative difference sets with large forbidden subgroups ⋮ Semiregular relative difference sets in 2-groups containing a cyclic subgroup of index 2 ⋮ Application of Gaschütz' Theorem to relative difference sets in non-abelian groups

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