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

Autor:	R. Julian R. Abel, Adrian M. Nelson, Diana Combe, William D. Palmer
Rok vydání:	2011
Předmět:	Combinatorics Nilpotent Computational Theory and Mathematics Group (mathematics) Applied Mathematics Discrete Mathematics and Combinatorics Order (ring theory) Geometry and Topology Nilpotent group Dihedral group Block size Theoretical Computer Science Mathematics
Zdroj:	The Electronic Journal of Combinatorics. 18
ISSN:	1077-8926
DOI:	10.37236/519
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a55f0b60f1e97ddd48ea7c950cd9ba32 https://doi.org/10.37236/519 Zobrazit plný text záznamu