The incidence structures known as (Ξ±, Ξ²)-geometries are a generalization of partial geometries and semipartial geometries. For an (Ξ±, Ξ²)-geometry fully embedded in PG(n, q), the restriction to a plane turns out to be important. Planes containing an antiflag of the (Ξ±, Ξ²)-geometry can be divided into
On Barbilian spaces in projective lattice geometries
β Scribed by Marcus Greferath; Stefan E. Schmidt
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 633 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0046-5755
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β¦ Synopsis
We introduce the notion of a Barbilian space of a projective lattice geometry in order to investigate the relationship between lattice-geometric properties and the properties of pointhyperplane structures associated with. We obtain a chracterization of those projective lattice geometries, the Barbilian space of which is a Veldkamp space.
π SIMILAR VOLUMES
In this paper, we show that the full algebraic combinatorial geometry is not a projective geometry, it is only semimodular, but the p-polynomial points give a projective subgeometry. Also, we show that the subgeometry can be coordinatized by a skew field, which is quotient ring of an Ore domain. As
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