Journal ArticleDOI
Derivable nets and 3-dimensional projective spaces
About:
This article is published in Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg.The article was published on 1988-12-01. It has received 21 citations till now. The article focuses on the topics: Projective space & Collineation.read more
Citations
More filters
Journal ArticleDOI
Derivable nets and 3-dimensional projective spaces II; the structure
Journal ArticleDOI
Subplane covered nets and semipartial geometries
F. De Clerck,Norman L. Johnson +1 more
TL;DR: Using the characterization theorems for (semi)partial geometries which satisfy the diagonal axiom, it is proved that subplane covered nets or equivqlently (n − 1)-regulus nets are isomorphic to the dual of the geometry H qn+ 1 with point set.
Journal ArticleDOI
The derivation of dual translation planes
TL;DR: In this article, a finite affine plane that permits derivation and a derivable net embedded in it is considered and the main question with regard to the collineation group of is whether the full group of the derived plane is the inherited group.
Journal ArticleDOI
Direct Products of Affine Partial Linear Spaces
Norman L. Johnson,T. G. Ostrom +1 more
TL;DR: Analysis of derivable and subplane covered nets as direct product nets provides characterizations of these nets, and construction of maximal partial spreads is considered.
Journal ArticleDOI
A group theoretic characterization of finite derivable nets
TL;DR: In this paper, it was shown that a finite net of orderq2 and degreeq + 1 is a derivable net if and only if the net admits a collineation group isomorphic to PSL(4,q)N (whereN is a line of the associated 3-dimensional projective space upon which the abstract group acts).
References
More filters
Journal ArticleDOI