Abstract
Generalizing a result of Jungnickel for affine difference sets, we present an existence test for arbitrary divisible difference setsD which is analogous to the well-known and powerful test of Mann for ordinary difference sets. Several applications show that this approach is of interest also in the general case.
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Research partially supported by NSA grant # MDA 904-87-H-2018 and by an Alexandervon-Humboldt fellowship. The author would like to thank the Mathematisches Institut der Justus-Liebig-Universität Giessen for its hospitality during the time of this research.
An erratum to this article is available at http://dx.doi.org/10.1007/BF02986666.
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Arasu, K.T., Jungnickel, D. & Pott, A. The mann test for divisible difference sets. Graphs and Combinatorics 7, 209–217 (1991). https://doi.org/10.1007/BF01787628
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DOI: https://doi.org/10.1007/BF01787628