AbstractA multiplier theorem in (J. Combinatorial Theory Ser. A, in press) is extended to cyclic group divisible difference sets (GDDSs) of small size. A multiplier theorem for abelian difference sets in (Proc. Amer. Math. Soc. 68 (1978), 375–379) is extended to abelian GDDSs. A remark on the existence of cyclic affine planes is made based on a previously proved multiplier theorem
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractWe investigate proper (m, n, k, λ1, λ2)-divisible difference sets D in an abelian group G ad...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
AbstractMann (Canad. J. Math. (1952), 222–226) has proved that 2 is a multiplier for a cyclic differ...
AbstractUsing a result of Cohen [J. Combin. Theory Ser. A 51 (1989), 227–236], we get an upper bound...
We construct a family of difference sets D with parameters v = 3s+1 (3s+1 − 1)/2, k = (3s+1 + 1)/2, ...
This treatise is concerned with generalizations of the Multiplier Theorem for cyclic difference sets...
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractWe investigate proper (m, n, k, λ1, λ2)-divisible difference sets D in an abelian group G ad...
AbstractOf the five abelian groups of order 81, three are known not to contain a (81, 16, 3) differe...
AbstractThis note contains a list of (v, k, λ) difference sets in noncyclic groups, for k < 20
This is the second paper on addition sets. A generalization of Hall's Multiplier Theorem for differe...
AbstractIn this paper, we consider (v, k, λ)-difference sets from the point of view of their multipl...
A (v, k, λ) difference set is a k-element subset D of a group G of order v for which the multiset {d...
AbstractAn easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is ...
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractWe investigate proper (m, n, k, λ1, λ2)-divisible difference sets D in an abelian group G ad...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
AbstractMann (Canad. J. Math. (1952), 222–226) has proved that 2 is a multiplier for a cyclic differ...
AbstractUsing a result of Cohen [J. Combin. Theory Ser. A 51 (1989), 227–236], we get an upper bound...
We construct a family of difference sets D with parameters v = 3s+1 (3s+1 − 1)/2, k = (3s+1 + 1)/2, ...
This treatise is concerned with generalizations of the Multiplier Theorem for cyclic difference sets...
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractWe investigate proper (m, n, k, λ1, λ2)-divisible difference sets D in an abelian group G ad...
AbstractOf the five abelian groups of order 81, three are known not to contain a (81, 16, 3) differe...
AbstractThis note contains a list of (v, k, λ) difference sets in noncyclic groups, for k < 20
This is the second paper on addition sets. A generalization of Hall's Multiplier Theorem for differe...
AbstractIn this paper, we consider (v, k, λ)-difference sets from the point of view of their multipl...
A (v, k, λ) difference set is a k-element subset D of a group G of order v for which the multiset {d...
AbstractAn easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is ...
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractWe investigate proper (m, n, k, λ1, λ2)-divisible difference sets D in an abelian group G ad...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
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