If is a finite symplectic translation plane, it is shown that any affine homology group is cyclic and has order dividing the order of the kernel homology group. This criterion provides a means to ensure that a given spread is not symplectic. Furthermore, a variety of symplectically paired André spreads are constructed
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
If is a finite symplectic translation plane, it is shown that any affine homology group is cyclic a...
We first note that each element of a symplectic spread of PG(2n-1,2^r) either intersects a suitable ...
We first note that each element of a symplectic spread of PG(2n-1,2^r) either intersects a suitable ...
Abstract. Some new results on symplectic translation planes are given using their represen-tation by...
Some new results on symplectic translation planes are given using their representation by spread se...
As we write this paper, it appears that every known nite translation plane arising from a symplectic...
Spreads of orthogonal vector spaces are used to construct many translation planes of even order qm, ...
Spreads of orthogonal vector spaces are used to construct many translation planes of even order qm, ...
AbstractA (line) spread in PG(3, q) is any set of q2 + 1 disjoint lines in PG(3, q). The spread S is...
A symplectic spread of a 2n-dimensional vector space V over GF(q) is a set of q^n + 1 totally isotro...
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
If is a finite symplectic translation plane, it is shown that any affine homology group is cyclic a...
We first note that each element of a symplectic spread of PG(2n-1,2^r) either intersects a suitable ...
We first note that each element of a symplectic spread of PG(2n-1,2^r) either intersects a suitable ...
Abstract. Some new results on symplectic translation planes are given using their represen-tation by...
Some new results on symplectic translation planes are given using their representation by spread se...
As we write this paper, it appears that every known nite translation plane arising from a symplectic...
Spreads of orthogonal vector spaces are used to construct many translation planes of even order qm, ...
Spreads of orthogonal vector spaces are used to construct many translation planes of even order qm, ...
AbstractA (line) spread in PG(3, q) is any set of q2 + 1 disjoint lines in PG(3, q). The spread S is...
A symplectic spread of a 2n-dimensional vector space V over GF(q) is a set of q^n + 1 totally isotro...
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