New necessary conditions on the existence of abelian difference sets |
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Authors: | Alexander Pott |
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Institution: | (1) Mathematisches Institut der Justus-Liebig-Universität Giessen, Arndtstraße 2, 6300 Giessen, Germany |
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Abstract: | In this paper we develop a new method to obtain identities in a group algebraGF(p)G if an abelian difference set of ordern0 (modp) exists inG. We give an explicit formula ifp
2 orp
3 is the exactp-power dividingn. This generalizes the approach of Wilbrink, Arasu and the author. The proof presented here uses some knowledge about field extensions of thep-adic numbers. |
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Keywords: | 05 B 10 |
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