Add to ORKGWe first note that each element of a symplectic spread of PG(2n-1,2^r) either intersects a suitable nonsingular quadric in a subspace of dimension n-2 or is contained in it, then we prove that this property characterises symplectic spreads of PG(2n-1,2^r). As an application, we show that a translation plane of order q^n , q even, with kernel containing GF(q), is defined by a symplectic spread if and only if it contains a maximal arc of the type constructed by J.A. Thas
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We first note that each element of a symplectic spread of PG(2n-1,2^r) either intersects a suitable ...
As we write this paper, it appears that every known nite translation plane arising from a symplectic...
A symplectic spread of a 2n-dimensional vector space V over GF(q) is a set of q^n + 1 totally isotro...
If is a finite symplectic translation plane, it is shown that any affine homology group is cyclic a...
If is a finite symplectic translation plane, it is shown that any affine homology group is cyclic a...
Some new results on symplectic translation planes are given using their representation by spread se...
AbstractA (line) spread in PG(3, q) is any set of q2 + 1 disjoint lines in PG(3, q). The spread S is...
Abstract. Some new results on symplectic translation planes are given using their represen-tation by...
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We prove that the only symplectic semifield spreads of PG(5,q^2), q>= 2^14, even, whose associated...
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We first note that each element of a symplectic spread of PG(2n-1,2^r) either intersects a suitable ...
As we write this paper, it appears that every known nite translation plane arising from a symplectic...
A symplectic spread of a 2n-dimensional vector space V over GF(q) is a set of q^n + 1 totally isotro...
If is a finite symplectic translation plane, it is shown that any affine homology group is cyclic a...
If is a finite symplectic translation plane, it is shown that any affine homology group is cyclic a...
Some new results on symplectic translation planes are given using their representation by spread se...
AbstractA (line) spread in PG(3, q) is any set of q2 + 1 disjoint lines in PG(3, q). The spread S is...
Abstract. Some new results on symplectic translation planes are given using their represen-tation by...
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We prove that the only symplectic semifield spreads of PG(5,q^2), q>= 2^14, even, whose associated...
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic