3-Abelian groups and commutative Moufang loops (Q797707)
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scientific article; zbMATH DE number 3867609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 3-Abelian groups and commutative Moufang loops |
scientific article; zbMATH DE number 3867609 |
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3-Abelian groups and commutative Moufang loops (English)
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1984
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Commutative Moufang loops are loops satisfying the identities \(xy\cdot zx=(x\cdot yz)x\) and \(xy=yx\). A 3-Abelian group satisfies \((xy)^ 3=x^ 3y^ 3\). The author investigates the relationship between these objects as well as groups and Moufang loops satisfying \(x^ 3=1\).
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Moufang loops
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3-Abelian group
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