Divisible designs from twisted dual numbers

Abstract

The generalized chain geometry over the local ring $K(\epsilon ;\sigma )$ of twisted dual numbers, where $K$ is a finite field, is interpreted as a divisible design obtained from an imprimitive group action. Its combinatorial properties as well as a geometric model in 4-space are investigated.

References in corpus (4)

• Projective Representations I. Projective lines over rings
• Extending the Concept of Chain Geometry
• Some Constructions of Divisible Designs from Laguerre Geometries
• Lifting of divisible designs

Cited by in corpus (1)

• From pentacyclic coordinates to chain geometries, and back