All finite automorphic loops have the elementwise Lagrange property. (Q888104)
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scientific article; zbMATH DE number 6504432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | All finite automorphic loops have the elementwise Lagrange property. |
scientific article; zbMATH DE number 6504432 |
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All finite automorphic loops have the elementwise Lagrange property. (English)
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4 November 2015
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An automorphic loop is a loop where every inner mapping is an automorphism. Using the technique of connected transversals, the author proves that, in each automorphic loop, the order of an element divides the order of the loop.
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automorphic loops
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finite loops
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A-loops
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orders of elements
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elementwise Lagrange property
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multiplication groups
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inner mapping groups
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connected transversals
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