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On resolvable group-divisible designs with block size 3. (English) Zbl 0621.05004
Resolvable group-divisible designs with blocks of size 3 have u groups of size g meeting the necessary conditions $$ug=0$$ (mod 3) and $$(u-1)g=0$$ (mod 2). Existence for resolvable group-divisible designs of type $$g^ u$$ and block size 3 is settled with a few exceptions. The essential ingredient is the use of Kirkman frames, which are essentially Kirkman triple systems with holes.
Reviewer: C.J.Colbourn

##### MSC:
 05B05 Combinatorial aspects of block designs
##### Keywords:
resolution; group-divisible designs; triple systems