Affine difference sets of even order (Q909663)
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scientific article; zbMATH DE number 4137776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affine difference sets of even order |
scientific article; zbMATH DE number 4137776 |
Statements
Affine difference sets of even order (English)
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1989
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Let G be a direct sum of a group of order \(n+1\) and of an Abelian group N of order n-1. If n is even (different from 2), and G admits an affine difference set relative to N then \(n=4k\) and N admits a \((4k-1,4k-1,k-1)\) difference set. Proofs, variations and corollaries are very interesting; for brevity we quote only that there is no nilpotent affine difference set of order \(4k+2\).
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nilpotent difference sets
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affine difference set
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