Symplectic translation planes of even order are investigated. Such planes are characterised by the existence of completely regular line--ovals, and these line--ovals give rise to symmetric designs isomorphic to certain designs investigated by Kantor. The use of these designs allows us to describe the collineation group fixing a completely regular line--oval. From this quite surprising results on flag-transitive symplectic planes follow
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes...
A symplectic spread of a 2n-dimensional vector space V over GF(q) is a set of q^n + 1 totally isotro...
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...
The following result concerning completely regular ovals is proved: Let Pi be a projective plane of ...
AbstractWe show that a translation plane is symplectic if and only at least one of its associated qu...
Abstract. The collineation groups of even order translation planes which are cubic ex-tensions of fl...
Abstract. The collineation groups of even order translation planes which are cubic ex-tensions of fl...
Abstract. The collineation groups of even order translation planes which are cubic ex-tensions of fl...
In this article we consider a set C of points in PG(4,q), q even, satisfying certain combinatorial p...
Let π be a translation plane of order qd, q even, with GF(q) a subfield of the kernel and for which ...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes...
A symplectic spread of a 2n-dimensional vector space V over GF(q) is a set of q^n + 1 totally isotro...
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...
The following result concerning completely regular ovals is proved: Let Pi be a projective plane of ...
AbstractWe show that a translation plane is symplectic if and only at least one of its associated qu...
Abstract. The collineation groups of even order translation planes which are cubic ex-tensions of fl...
Abstract. The collineation groups of even order translation planes which are cubic ex-tensions of fl...
Abstract. The collineation groups of even order translation planes which are cubic ex-tensions of fl...
In this article we consider a set C of points in PG(4,q), q even, satisfying certain combinatorial p...
Let π be a translation plane of order qd, q even, with GF(q) a subfield of the kernel and for which ...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
Ph.D. thesis, University of Sussex at Brighton, U.K. Chapter 1 introduces some background material c...
The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes...