Explicit constructions for 1-rotational Kirkman triple systems (Q2725008)
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scientific article; zbMATH DE number 1618583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit constructions for 1-rotational Kirkman triple systems |
scientific article; zbMATH DE number 1618583 |
Statements
12 July 2001
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Kirkman triple system
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Explicit constructions for 1-rotational Kirkman triple systems (English)
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It is shown that if each prime factor of \(n\) is congruent to 1 modulo 6 then there exists a 1-rotational Kirkman triple system of order \(8n+1\) (i.e. a Kirkman triple system admitting an automorphism consisting of one fixed point and a single cycle of length \(8n\)).
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