English

Divisible designs from twisted dual numbers

Combinatorics 2024-02-05 v1 Rings and Algebras

Abstract

The generalized chain geometry over the local ring K(ϵ;σ)K(\epsilon;\sigma) of twisted dual numbers, where KK 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.

Keywords

Cite

@article{arxiv.1304.1338,
  title  = {Divisible designs from twisted dual numbers},
  author = {Andrea Blunck and Hans Havlicek and Corrado Zanella},
  journal= {arXiv preprint arXiv:1304.1338},
  year   = {2024}
}
R2 v1 2026-06-21T23:53:49.842Z