Highly Influenced

@article{Horton1990OrthogonalSI, title={Orthogonal starters in finite abelian groups}, author={Joseph Douglas Horton}, journal={Discrete Mathematics}, year={1990}, volume={79}, pages={265-278} }

- Published 1990 in Discrete Mathematics
DOI:10.1016/0012-365X(90)90335-F

Two problems are considered. First, the conjecture that all odd abelian groups except H,, Es, H,, and Z, + Z, admit strong starters, is reduced to finding strong starters in five types of groups; the cyclic groups of order 3p, 9p, 3’ for k > 6, 5 .3“ for k > 4, and ZL, + hs, where p is any odd prime greater than 111. It is shown that all abelian groups G of odd order greater than 5 such that three does not divide the order of G admits a strong starter. As well, strong starters are given in some… CONTINUE READING