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Selected Works of Professor Jennifer Seberry
Article
Generalized Bhaskar Rao Designs with Block Size 3 over Finite Abelian Groups
Faculty of Informatics - Papers (Archive)
  • G. Ge, Zhejiang University, China
  • M. Grieg, Greig Consulting, North Vancouver, B.C., Canada
  • Jennifer Seberry, University of Wollongong
  • R. Seberry, Turramurra, Australia
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RIS ID
22648
Publication Date
1-1-2007
Publication Details
This article was originally published as Ge, G, Grieg, M, Seberry, J, & Seberry, R, Generalized Bhaskar Rao Designs with Block Size 3 over Finite Abelian Groups, Graphs and Combinatorics, 23(3), 2007, 271-290. The original publication is available at www.springerlink.com.
Abstract

We show that if G is a finite Abelian group and the block size is 3, then the necessary conditions for the existence of a (v; 3; λ;G) GBRD are sufficient. These necessary conditions include the usual necessary conditions for the existence of the associated (v; 3; λ) BIBD plus λ ≡ 0 (mod |G|), plus some extra conditions when |G| is even, namely that the number of blocks be divisible by 4 and, if v = 3 and the Sylow 2-subgroup of G is cyclic, then also λ ≡ 0 (mod 2|G|).

Disciplines
Citation Information
G. Ge, M. Grieg, Jennifer Seberry and R. Seberry. "Generalized Bhaskar Rao Designs with Block Size 3 over Finite Abelian Groups" (2007)
Available at: http://works.bepress.com/jseberry/23/