The central spectrum of the order of a Steiner loop (Q1803355)
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scientific article; zbMATH DE number 220703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The central spectrum of the order of a Steiner loop |
scientific article; zbMATH DE number 220703 |
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The central spectrum of the order of a Steiner loop (English)
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29 June 1993
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A Steiner loop is a commutative finite loop \(L\) with the property: \(y(yx) = x\) for all \(y\), \(x\) in \(L\). The authors study properties of Steiner loops and determine possible orders of their centers. As a consequence they get an example saying that one cannot carry over the group-theoretic Lagrange theorem to the context of Steiner loops.
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commutative finite loop
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Steiner loops
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centers
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Lagrange theorem
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