Note on the structure of semiovals in finite projective planes

On the nonexistence of finite projective

On the nonexistence of finite projective planes of Lenz-Barlotti Type I6

✍ Judita Cofman 📂 Article 📅 1966 🏛 Elsevier Science 🌐 English ⚖ 378 KB

Classification of Embeddings of the Flag

Classification of Embeddings of the Flag Geometries of Projective Planes in Finite Projective Spaces, Part 1

✍ Joseph A. Thas; Hendrik Van Maldeghem 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 156 KB

The flag geometry 1=(P, L, I) of a finite projective plane 6 of order s is the generalized hexagon of order (s, 1) obtained from 6 by putting P equal to the set of all flags of 6, by putting L equal to the set of all points and lines of 6, and where I is the natural incidence relation (inverse conta

Classification of Embeddings of the Flag

Classification of Embeddings of the Flag Geometries of Projective Planes in Finite Projective Spaces, Part 2

✍ Joseph A. Thas; Hendrik Van Maldeghem 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 173 KB

Classification of Embeddings of the Flag

Classification of Embeddings of the Flag Geometries of Projective Planes in Finite Projective Spaces, Part 3

✍ Joseph A. Thas; Hendrik Van Maldeghem 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 214 KB

The flag geometry 1=(P, L, I) of a finite projective plane 6 of order s is the generalized hexagon of order (s, 1) obtained from 6 by putting P equal to the set of all flags of 6, by putting L equal to the set of all points and lines of 6, and where I is the natural incidence relation (inverse conta

On the Non-existence of Thas Maximal Arc

On the Non-existence of Thas Maximal Arcs in Odd Order Projective Planes

✍ A. Blokhuis; N. Hamilton; H. Wilbrink 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 91 KB

In this paper it is shown that given a non-degenerate elliptic quadric in the projective space PG(2n -1, q), q odd, then there does not exist a spread of PG(2n -1, q) such that each element of the spread meets the quadric in a maximal totally singular subspace. An immediate consequence is that the c

On the type of partial t-spreads in fini

On the type of partial t-spreads in finite projective spaces

✍ Albrecht Beutelspacher; Franco Eugeni 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 967 KB

A partial t-spread in a projective space P is a set of mutually skew t-dimensional subspaces of P. In this paper, we deal with the question, how many elements of a partial spread Sf can be contained in a given d-dimensional subspace of P. Our main results run as follows. If any d-dimensional subspac