6533b7d9fe1ef96bd126c118

RESEARCH PRODUCT

Zur Hyperebenenalgebraisierung in desargues-Schen projektiven Verbandsgeometrien

Marcus Greferath

subject

CombinatoricsDiscrete mathematicsProjective harmonic conjugateCollineationBlocking setDuality (projective geometry)Projective spaceGeometry and TopologyProjective planeNon-Desarguesian planeProjective geometryMathematics

description

As a completion and extension of a result of A. Day and D. Pickering [5] we obtain the following structure theorem in the conceptual frame of projective lattice geometries: In a Desarguesian projective geometry the subgeometry of every at least one-dimensional hyperplane is module induced.

https://doi.org/10.1007/bf01231870