GBRDs with Block Size Three over 2-Groups, Semi-Dihedral Groups and Nilpotent Groups

  • R. Julian R. Abel
  • Diana Combe
  • Adrian M. Nelson
  • William D. Palmer

Abstract

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.

Published
2011-02-14
Article Number
P32