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.
Divisible designs from twisted dual numbers
ZANELLA, CORRADO
2008
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.
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