GBRDs over supersolvable groups and solvable groups of order prime to 3

Authors:
R. Julian Abel;Diana Combe;Adrian M. Nelson;William D. Palmer
Affiliations:
School of Mathematics and Statistics, The University of New South Wales, Kensington, Australia 2052;School of Mathematics and Statistics, The University of New South Wales, Kensington, Australia 2052;School of Mathematics and Statistics, The University of Sydney, Sydney, Australia 2006;School of Mathematics and Statistics, The University of Sydney, Sydney, Australia 2006
Venue:
Designs, Codes and Cryptography
Year:
2013

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Abstract

We show that the established necessary conditions for a GBRD $${(v,3,\lambda; \mathbb {G})}$$ are sufficient (i) when $${\mathbb {G}}$$ is supersolvable and (ii) when $${\mathbb {G}}$$ is solvable with $${\vert \mathbb {G} \vert }$$ prime to 3.