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

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 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

Full Embeddings of (α, β) -Geometries in

Full Embeddings of (α, β) -Geometries in Projective Spaces

✍ Sara Cauchie; Frank De Clerck; Nicholas Hamilton 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 118 KB

The incidence structures known as (α, β)-geometries are a generalization of partial geometries and semipartial geometries. For an (α, β)-geometry fully embedded in PG(n, q), the restriction to a plane turns out to be important. Planes containing an antiflag of the (α, β)-geometry can be divided into

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