Let D be an abelian difference set for a projective plane ∏ of order n. Then -D is an oval of ∏. Using this we show that n ≡ 0 mod 8 if n > 4 is even. To this end, we also generalize some known existence conditions for cyclic planar difference sets to the abelian case
We present a condition on the intersection numbers of difference sets which follows from a result of...
AbstractWe present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
Let D be an abelian difference set for a projective plane ∏ of order n. Then -D is an oval of ∏. Usi...
Let D be an abelian planar difference set of order n. Then D−1 is an oval in the corresponding proje...
A condition is introduced on the abelian difference set D of an abelian projective plane of odd orde...
AbstractThis paper is motivated by Bruck's paper (1955), in which he proved that the existence of cy...
It is proven that if G is an abelian regular automorphism group of a projective plane of order n and...
AbstractGeneralizing a result of Ko and Ray-Chaudhuri (Discrete Math. 39 (1982), 37–58), we show the...
AbstractThe existence of a cyclic affine plane implies the existence of a Paley type difference set....
AbstractAn easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is ...
AbstractIt is shown that a group extensions approach to central relative (k+1,k-1,k,1)-difference se...
We prove that, under certain conditions, multipliers of an abelian projective plane of square order ...
AbstractLet R be an abelian (pa, pb, pa, pa−b)-difference set in G relative to N. The main results i...
Let be an abelian group of order , where are distinct odd prime numbers. In this paper, we prove t...
We present a condition on the intersection numbers of difference sets which follows from a result of...
AbstractWe present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
Let D be an abelian difference set for a projective plane ∏ of order n. Then -D is an oval of ∏. Usi...
Let D be an abelian planar difference set of order n. Then D−1 is an oval in the corresponding proje...
A condition is introduced on the abelian difference set D of an abelian projective plane of odd orde...
AbstractThis paper is motivated by Bruck's paper (1955), in which he proved that the existence of cy...
It is proven that if G is an abelian regular automorphism group of a projective plane of order n and...
AbstractGeneralizing a result of Ko and Ray-Chaudhuri (Discrete Math. 39 (1982), 37–58), we show the...
AbstractThe existence of a cyclic affine plane implies the existence of a Paley type difference set....
AbstractAn easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is ...
AbstractIt is shown that a group extensions approach to central relative (k+1,k-1,k,1)-difference se...
We prove that, under certain conditions, multipliers of an abelian projective plane of square order ...
AbstractLet R be an abelian (pa, pb, pa, pa−b)-difference set in G relative to N. The main results i...
Let be an abelian group of order , where are distinct odd prime numbers. In this paper, we prove t...
We present a condition on the intersection numbers of difference sets which follows from a result of...
AbstractWe present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
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