Uniform Group Divisible Designs with Block Sizes Three and n

 The existence of group divisible designs of type g ^t with block sizes three and n, 4≤ n≤10, is completely settled for all values of g and t. Received: July 21, 1999 Final version received: September 10, 2001 RID="*" ID="*" This work was done in 1995 while the authors were graduate students at the University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Acknowledgments. The authors would like to thank the referee for his careful reading and for pointing out some errors in an earlier draft of the paper.