The exponent of the primitive Cayley digraphs on finite abelian groups (Q1382274)
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scientific article; zbMATH DE number 1133169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exponent of the primitive Cayley digraphs on finite abelian groups |
scientific article; zbMATH DE number 1133169 |
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The exponent of the primitive Cayley digraphs on finite abelian groups (English)
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2 June 1998
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Let \(S\) be the set of the central elements of a finite group \(G\). The authors find necessary and sufficient conditions for a Cayley digraph to be primitive. They also show that the exponent of a primitive Cayley digraph on an abelian group is \(n-1\), \([n/2]\), \([n/2] -1\), or does not exceed \([n/3] +1\). A characterization of digraphs corresponding to the first three exponents is given.
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exponent
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primitive Cayley digraph
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characterization
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