6533b825fe1ef96bd1282785
RESEARCH PRODUCT
Embedding linear spaces with two line degrees in finite projective planes
Albrecht Beutelspachersubject
Discrete mathematicsPure mathematicsReal projective lineReal projective planeDuality (projective geometry)Finite geometryProjective spaceLine at infinityGeometry and TopologyFano planeProjective planeMathematicsdescription
In this paper we shall classify all finite linear spaces with line degrees n and n-k having at most n2+n+1 lines. As a consequence of this classification it follows: If n is large compared with k, then any such linear space can be embedded in a projective plane of order n−1 or n.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1986-04-01 | Journal of Geometry |