Tournaments with prescribed regular automorphism group (Q1075336)
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scientific article; zbMATH DE number 3950558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tournaments with prescribed regular automorphism group |
scientific article; zbMATH DE number 3950558 |
Statements
Tournaments with prescribed regular automorphism group (English)
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1986
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The author corrects an error in a paper of \textit{L. Babai} and \textit{W. Imrich} [Aequationes Math. 19, 232-244 (1979; Zbl 0422.05034)] by showing that \({\mathbb{Z}}^ 2_ 3\) and \({\mathbb{Z}}^ 3_ 3\) are the only groups of odd order without tournamental regular representations (TRR's). A probabilistic argument is used to prove the existence of TRR's for three particular groups.
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tournamental regular representations
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TRR
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groups
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