Highly Influenced

# Transversals in Row-Latin Rectangles

@article{Drisko1998TransversalsIR, title={Transversals in Row-Latin Rectangles}, author={Arthur A. Drisko}, journal={J. Comb. Theory, Ser. A}, year={1998}, volume={84}, pages={181-195} }

- Published 1998 in J. Comb. Theory, Ser. A
DOI:10.1006/jcta.1998.2894

It is shown that an m_n row-latin rectangle with symbols in [1, 2, ..., k], k n, has a transversal whenever m 2n&1, and that this lower bound for m is sharp. Several applications are given. One is the construction of mappings which are generalizations of complete mappings. Another is the proof of a conjecture of Dillon on the existence of difference sets in groups of order 2 with elementary abelian normal subgroups of order 2. 1998 Academic PressÂ