Absolute Embeddings of Point–Line Geometries
✍ Scribed by A Kasikova; E Shult
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 184 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
A method is given for showing that an embeddable point᎐line geometry possesses an absolutely universal projective embedding. This method is applied to show that virtually every embeddable Lie incidence geometry possesses an absolutely universal embedding.
📜 SIMILAR VOLUMES
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
In [4], line-closed combinatorial geometries were studied. Here, given a line-closed combinatorial geometry G(X), we determine all single point extensions of G(X) that are line-closed. Further, if H(X U r) is a line-closed geometry that is a smooth extension of G(X) we give a natural necessary and s