An exponent bound on skew Hadamard abelian difference sets (Q1335417)
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scientific article; zbMATH DE number 646840
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An exponent bound on skew Hadamard abelian difference sets |
scientific article; zbMATH DE number 646840 |
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An exponent bound on skew Hadamard abelian difference sets (English)
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4 October 1994
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Let \(G\) be an abelian \(p\)-group of order \(p^ m\) and exponent \(p^ s\), for \(p\equiv 3\pmod 4\). If \(G\) admits a difference set \(D\) such that \(D+ D^{-1}= G-1\) then \(s\leq (m+1)/4\). This result supports the conjecture that only skew Hadamard difference sets are Paley-Hadamard, and it is obtained using characters of \(G\).
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exponent bound
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skew Hadamard abelian difference sets
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abelian \(p\)-group
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difference set
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