Transversal designs associated with frobenius groups |
| |
Authors: | Dieter Jungnickel |
| |
Institution: | (1) Mathematisches Institut, Justus-Liebig-Universität Gießen, Arndtstr. 2, D-6300 Gießen, F.R. Germany |
| |
Abstract: | To any Frobenius group G (of degree s, with Frobenius complement of order k) we associate an (s,k) -transversal design (G) which admits G as a point-regular collineation group. (G) is in fact also a dual translation net and furthermore admits a flag-regular collineation group. Also, (G) has two orthogonal resolutions. Conversely, we will characterize the Frobenius groups among the point-regular collineation groups of resolvable transversal designs. We also exhibit two further classes of flag-regular transversal designs. Finally, we completely determine the possible parameters of TD's constructed as above.Dedicated to Professor R. Artzy on the occasion of his 70th birthday |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|