A survey on resolvable group divisible designs with block size four

In this paper, a survey for the existence of resolvable group divisible designs (RGDDs) with block size four, group-type <f>hn</f> and index unity is presented. It is proved that there exists a 4-RGDD of type <f>hn</f> if and only if <f>n&ges;4</f>, <f>hn≡0 (mod 4)</f> and <f>h(n−1)≡0 (mod 3)</f> with a handful of possible exceptions. [Copyright &y& Elsevier]