
handle: 11577/2270527
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.
Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, Mathematics - Rings and Algebras, Combinatorics (math.CO), 51E05, 51B15, 51E20, 51E25, 51A45, Divisible design; Chain geometry; Local ring; Twisted dual numbers; Geometric model
Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, Mathematics - Rings and Algebras, Combinatorics (math.CO), 51E05, 51B15, 51E20, 51E25, 51A45, Divisible design; Chain geometry; Local ring; Twisted dual numbers; Geometric model
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