Journal article

NEW NECESSARY CONDITIONS ON THE EXISTENCE OF ABELIAN DIFFERENCE SETS


Authors list: POTT, A

Publication year: 1992

Pages: 89-93

Journal: Combinatorica

Volume number: 12

Issue number: 1

ISSN: 0209-9683

DOI Link: https://doi.org/10.1007/BF01191207

Publisher: Springer


Abstract: 
In this paper we develop a new method to obtain identities in a group algebra GF(p)G if an abelian difference set of order n = 0 (mod p) exists in G. We give an explicit formula if p2 or p3 is the exact p-power dividing n. This generalizes the approach of Wilbrink, Arasu and the author. The proof presented here uses some knowledge about field extensions of the p-adic numbers.



Citation Styles

Harvard Citation style: POTT, A. (1992) NEW NECESSARY CONDITIONS ON THE EXISTENCE OF ABELIAN DIFFERENCE SETS, Combinatorica, 12(1), pp. 89-93. https://doi.org/10.1007/BF01191207

APA Citation style: POTT, A. (1992). NEW NECESSARY CONDITIONS ON THE EXISTENCE OF ABELIAN DIFFERENCE SETS. Combinatorica. 12(1), 89-93. https://doi.org/10.1007/BF01191207



Keywords

WILBRINK THEOREM

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