On bipartite tournaments balanced with respect to carry-over effects for both teams Original Research Article

By finding an invertible basic directed terrace (i.b.d.t.) for the non-abelian group of order 21, we give the first example of a bipartite tournament of odd order which is balanced with respect to carry-over effects for both teams. We report that no non-abelian group of order less than 16 has an i.b.d.t. and present an example of an i.b.d.t. for each non-abelian group of order between 16 and 20 inclusive. We also construct an i.b.d.t. for one of the non-abelian groups of order 42.