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Embeddings of resolvable group divisible designs with block size 3

Authors:	Jun Shen Hao Shen

Institution:	(1) Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

Abstract:	It is proved in this paper that an RGD(3, g;v) can be embedded in an RGD(3, g;u) if and only if $u-g\equiv v-g\equiv 0 (mod 2)$ , $u\equiv v\equiv 0 (mod 3)$ , $u\equiv v\equiv 0 (mod g)$ , v ≥ 3g, u ≥ 3v, and (g,v) ≠ (2,6),(2,12),(6,18).

Keywords:	Group divisible design Resolvable Embedding
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