2010/12/06 by Anna Miriam Benini, Benini, Anna, Achille Frigeri +3
Mathematics · Engineering · #Finite Group Theory Research #graph theory and CDMA systems #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.1012.1059
Let (N,Φ) be a circular Ferrero pair. We define the disk with center b and radius a, D(a;b), as D(a;b)=\x∈ Φ(r)+c| r≠ 0, b∈ Φ(r)+c, |(Φ(r)+c)∩ (Φ(a)+b)|=1\. We prove that in the field-generated case there are many analogies with the Euclidean geometry. Moreover, if BD is the set of all disks, then, in some interesting cases, we show that the incidence structure (N,BD,∈) is actually a balanced incomplete block design.