AbstractThe existence of a cyclic affine plane implies the existence of a Paley type difference set. We use the existence of this difference set to give the following condition on the existence of cyclic affine planes of order n: If n ≡ 8 mod 16 then n − 1 must be a prime. We discuss the structure of the Paley type difference set constructed from the plane
AbstractMotivated by a question about uniform dessins d’enfants, it is conjectured that every cyclic...
AbstractWe prove an exponent bound for relative difference sets corresponding to symmetric nets. We ...
Eric Lander conjectured that if G is an abelian group of order $v$ containing a difference set of or...
AbstractThe existence of a cyclic affine plane implies the existence of a Paley type difference set....
AbstractIn this paper, we prove the following theorem: Suppose there exists a cyclic affine plane of...
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...
Partial difference sets with parameters (,,,)=(,(−1)/2,(−5)/4,(−1)/4) are called Paley type partial ...
We prove that, under certain conditions, multipliers of an abelian projective plane of square order ...
This paper formalizes the method of generating projective planes using difference sets. It establis...
AbstractGeneralizing a result of Ko and Ray-Chaudhuri (Discrete Math. 39 (1982), 37–58), we show the...
The Prime Power Conjecture (PPC) states that abelian planar difference sets of order n exist only fo...
Let be an abelian group of order , where are distinct odd prime numbers. In this paper, we prove t...
Let D be an abelian planar difference set of order n. Then D−1 is an oval in the corresponding proje...
AbstractThe study of sharply flag-transitive projective planes leads to a particular case of the cla...
AbstractMotivated by a question about uniform dessins d’enfants, it is conjectured that every cyclic...
AbstractWe prove an exponent bound for relative difference sets corresponding to symmetric nets. We ...
Eric Lander conjectured that if G is an abelian group of order $v$ containing a difference set of or...
AbstractThe existence of a cyclic affine plane implies the existence of a Paley type difference set....
AbstractIn this paper, we prove the following theorem: Suppose there exists a cyclic affine plane of...
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...
Partial difference sets with parameters (,,,)=(,(−1)/2,(−5)/4,(−1)/4) are called Paley type partial ...
We prove that, under certain conditions, multipliers of an abelian projective plane of square order ...
This paper formalizes the method of generating projective planes using difference sets. It establis...
AbstractGeneralizing a result of Ko and Ray-Chaudhuri (Discrete Math. 39 (1982), 37–58), we show the...
The Prime Power Conjecture (PPC) states that abelian planar difference sets of order n exist only fo...
Let be an abelian group of order , where are distinct odd prime numbers. In this paper, we prove t...
Let D be an abelian planar difference set of order n. Then D−1 is an oval in the corresponding proje...
AbstractThe study of sharply flag-transitive projective planes leads to a particular case of the cla...
AbstractMotivated by a question about uniform dessins d’enfants, it is conjectured that every cyclic...
AbstractWe prove an exponent bound for relative difference sets corresponding to symmetric nets. We ...
Eric Lander conjectured that if G is an abelian group of order $v$ containing a difference set of or...
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