Semi-planar Steiner loops of cardinality 2\(n\) (Q1406562)
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scientific article; zbMATH DE number 1974999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semi-planar Steiner loops of cardinality 2\(n\) |
scientific article; zbMATH DE number 1974999 |
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Semi-planar Steiner loops of cardinality 2\(n\) (English)
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4 September 2003
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A groupoid \(S\) with identity \(1\) satisfying the conditions \(x^2= 1\), \(xy= yx\) and \(x(xy)= y\), for all \(x,y\in S\), is called a sloop. The author constructs semi-planar sloops that are not planar and of cardinality \(2n\) for each \(n\equiv 2\) or \(4\pmod 6\).
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Steiner triple system
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sloop
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