The construction of translation planes from projective spaces

Construction of Divisible Designs from T

Construction of Divisible Designs from Translation Planes

✍ R.-H. Schulz; A.G. Spera 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 167 KB

We construct some classes of divisible designs from finite translation planes of dimension two and three over GF(q), q a prime power, admitting SL(2, q) as a collineation group.

Maximal sets of permutations constructed

Maximal sets of permutations constructed from projective planes

✍ Peter Lorimer 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 406 KB

On the set of n2+ n + 1 points of a projective plane, a set of ta2 + n -I-1 permutations is constructed with the property that any two are a Hamming distance 2n + 1 apart. Another set is constructed in which every pak are a Hamming distance not greater than 2n + 1 apart. Both sets are maximal with r

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

A remark on the uniqueness of embeddings

A remark on the uniqueness of embeddings of linear spaces into desarguesian projective planes

✍ Klaus Metsch 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 294 KB 👁 1 views

Suppose that q 2 2 is a prime power. We show that a linear space with a( q + 1)' + ( q + 1) points, where a 1 0.763, can be embedded in at most one way in a desarguesian projective plane of order q. 0 1995 John Wiley & Sons, he. ## 1. Introduction A linear space consists of points and lines such t