Dukes, Peter J.Lamken, Esther R.Ling, Alan C. H.2021-02-092021-02-0920162016Dukes, P. J., Lamken, E. R., & Ling, A. C. H. (2016). Resolvable Group Divisible Designs with Large Groups. The Electronic Journal of Combinatorics, 24(4). https://doi.org/10.37236/5435https://doi.org/10.37236/5435http://hdl.handle.net/1828/12669We prove that the necessary divisibility conditions are sufficient for the existence of resolvable group divisible designs with a fixed number of sufficiently large groups. Our method combines an application of the Rees product construction with a streamlined recursion based on incomplete transversal designs. With similar techniques, we also obtain new results on decompositions of complete multipartite graphs into a prescribed graph.enGraph decompositionResolvabilityTransversal designArticle