Geodesic
GBRDs with block size three over 2-groups, semi-dihedral groups and nilpotent groups
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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There are well known necessary conditions for the existence of a generalized Bhaskar Rao design over a group $\mathbb{G}$, with block size $k=3$. We prove that they are sufficient for nilpotent groups $\mathbb{G}$ of even order, and in particular for $2$-groups. In addition, we prove that they are sufficient for semi-dihedral groups.
DOI : 10.37236/519
Classification : 05B05, 20D15
Mots-clés : generalized Bhaskar Rao design (GBRD), nilpotent group, semi-dihedral group 
@article{10_37236_519,
     author = {R. Julian R. Abel and Diana Combe and Adrian M. Nelson and William D. Palmer},
     title = {GBRDs with block size three over 2-groups, semi-dihedral groups and nilpotent groups},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/519},
     zbl = {1233.05042},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/519/}
}
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R. Julian R. Abel; Diana Combe; Adrian M. Nelson; William D. Palmer. GBRDs with block size three over 2-groups, semi-dihedral groups and nilpotent groups. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/519

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