Completing the spectrum of rotational Mendelsohn triple systems (Q1382824)
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scientific article; zbMATH DE number 1130771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completing the spectrum of rotational Mendelsohn triple systems |
scientific article; zbMATH DE number 1130771 |
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Completing the spectrum of rotational Mendelsohn triple systems (English)
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28 October 1998
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A Mendelsohn triple system of order \(v\) (MTS(\(v\))) having an automorphism consisting of a single fixed point and precisely \(k\) cycles of length \((v-1) / k\) is said to be \(k\)-rotational. The authors extend previous work by Cho by showing that a \(k\)-rotational MTS(\(v\)) exists if and only if \(v \equiv 0,1\pmod 3\) and \(v \equiv 1\pmod k\), except when \(k=1\) and \(v \equiv 0 \pmod 6\) or \(v=10\).
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rotational Mendelsohn triple system
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group divisible design
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