Webs related to \(K\)-loops and reflection structures (Q1969673)
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scientific article; zbMATH DE number 1416703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Webs related to \(K\)-loops and reflection structures |
scientific article; zbMATH DE number 1416703 |
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Webs related to \(K\)-loops and reflection structures (English)
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19 March 2000
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The purpose of this paper is to characterize the structure of webs corresponding to \(A_1\)-loops, weak \(K\)-loops, \(K\)-loops and reflection structures. It is given a characterization of the webs \((P,g_1,g_2,g)\) which are related to \(A_1\)-loops, weak \(K\)-loops, \(K\)-loops and reflection structures. It is also obtained a geometric proof of Kreuzer's result that the concept of \(K\)-loop is equivalent to that of Bruck loop.
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webs
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weak \(K\)-loops
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reflection structures
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Bruck loops
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