Embeddings of resolvable group divisible designs with block size 3

AbstractIt 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).

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