On the proof of a theorem of Pálfy. (Q870041)
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scientific article; zbMATH DE number 5132828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the proof of a theorem of Pálfy. |
scientific article; zbMATH DE number 5132828 |
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On the proof of a theorem of Pálfy. (English)
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12 March 2007
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Summary: \textit{P. P. Pálfy} [Eur. J. Comb. 8, 35-43 (1987; Zbl 0614.05049)] proved that a group \(G\) is a CI-group if and only if \(|G|=n\) where either \(\gcd(n,\varphi(n))=1\) or \(n=4\), where \(\varphi\) is Euler's phi function. We simplify the proof of ``if \(\gcd(n,\varphi(n))=1\) and \(G\) is a group of order \(n\), then \(G\) is a CI-group''.
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CI-groups
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