We prove that, under certain conditions, multipliers of an abelian projective plane of square order have odd order modulo v*, where v* is the exponent of the underlying Singer group. As a consequence, we are able to establish the non-existence of an infinite number of abelian projective planes of square order
AbstractAn easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is ...
AbstractUsing a result of Cohen [J. Combin. Theory Ser. A 51 (1989), 227–236], we get an upper bound...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
We prove that, under certain conditions, multipliers of an abelian projective plane of square order ...
Let D be an abelian difference set for a projective plane ∏ of order n. Then -D is an oval of ∏. Usi...
AbstractThis paper is motivated by Bruck's paper (1955), in which he proved that the existence of cy...
Let D be an abelian planar difference set of order n. Then D−1 is an oval in the corresponding proje...
AbstractWe prove an exponent bound for relative difference sets corresponding to symmetric nets. We ...
AbstractIn this paper, we prove the following theorem: Suppose there exists a cyclic affine plane of...
AbstractA multiplier theorem in (J. Combinatorial Theory Ser. A, in press) is extended to cyclic gro...
AbstractOf the five abelian groups of order 81, three are known not to contain a (81, 16, 3) differe...
Which groups G contain difference sets with the parameters (v, k, λ)= (q3 + 2q2 , q2 + q, q), where ...
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....
AbstractLet p be a prime larger than 3 and congruent to 3 modulo 4, and let G be the non-abelian gro...
AbstractAn easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is ...
AbstractUsing a result of Cohen [J. Combin. Theory Ser. A 51 (1989), 227–236], we get an upper bound...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
We prove that, under certain conditions, multipliers of an abelian projective plane of square order ...
Let D be an abelian difference set for a projective plane ∏ of order n. Then -D is an oval of ∏. Usi...
AbstractThis paper is motivated by Bruck's paper (1955), in which he proved that the existence of cy...
Let D be an abelian planar difference set of order n. Then D−1 is an oval in the corresponding proje...
AbstractWe prove an exponent bound for relative difference sets corresponding to symmetric nets. We ...
AbstractIn this paper, we prove the following theorem: Suppose there exists a cyclic affine plane of...
AbstractA multiplier theorem in (J. Combinatorial Theory Ser. A, in press) is extended to cyclic gro...
AbstractOf the five abelian groups of order 81, three are known not to contain a (81, 16, 3) differe...
Which groups G contain difference sets with the parameters (v, k, λ)= (q3 + 2q2 , q2 + q, q), where ...
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....
AbstractLet p be a prime larger than 3 and congruent to 3 modulo 4, and let G be the non-abelian gro...
AbstractAn easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is ...
AbstractUsing a result of Cohen [J. Combin. Theory Ser. A 51 (1989), 227–236], we get an upper bound...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
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