Divisible designs from twisted dual numbers
Andrea Blunck, Hans Havlicek, Corrado Zanella
TL;DR
The generalized chain geometry over the local ring of twisted dual numbers is interpreted as a divisible design obtained from an imprimitive group action and its combinatorial properties as well as a geometric model in 4-space are investigated.
Abstract
The generalized chain geometry over the local ring $K(ε;σ)$ 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.