A classification of finite homogeneous semilinear spaces.
An extremal characterization of projective planes.
Enumerating blueprints, and an application.
Families of nets of low and medium strength.
On a class of partial -spreads of arising from scrolls.
Perp-systems and partial geometries.
Point Sets with Uniformity Properties and Orthogonal Hypercubes.
Reflection loops of spaces with congruence and hyperbolic incidence structure
In an absolute space with congruence there are line reflections and point reflections. With the help of point reflections one can define in a natural way an addition + of points which is only associative if the product of three point reflection is a point reflection again. In general, for example for the case that is a linear space with hyperbolic incidence structure, the addition is not associative. is a K-loop or a Bruck loop.
Some generalization of Desargues and Veronese configurations
2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial Steiner triple system, which generalizes the representation of the Desargues configuration as a suitable completion of three Veblen configurations. Some classification of the resulting configurations is given and the automorphism groups of configurations of several types are determined.
SPG systems and semipartial geometries.
The classification of SPG-systems of index 2.
The maximum size of a partial spread in is .
Twisted projective spaces and linear completions of some partial Steiner triple systems.
О нормальных подсетях алгебраических сетей
Представление квазирегулярных конфигураций
A quasiregular comfiguration is a finite partial plane, which not contains proper closed configuration. In this paper the authors investigate a representations of quasiregular configurations in real projective space and in comples projective plane.