The group of continuous autotopisms of the loop \(S^ 7\) (Q1201918)
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scientific article; zbMATH DE number 98729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The group of continuous autotopisms of the loop \(S^ 7\) |
scientific article; zbMATH DE number 98729 |
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The group of continuous autotopisms of the loop \(S^ 7\) (English)
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17 January 1993
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The unit sphere \(S^ 7\) is a subloop of the multiplicative Moufang loop of the eight-dimensional Cayley algebra \(A\). The author considers continuous pseudoautomorphisms and continuous autotopisms of \(S^ 7\). They are shown to be restrictions of corresponding transformations of \(A\). This yields a description of the related groups.
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unit sphere \(S^ 7\)
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Moufang loop
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Cayley algebra
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continuous pseudoautomorphisms
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continuous autotopisms
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0.88450074
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0.87539744
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0.8694576
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0.8488902
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0.8477737
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0.84657955
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0.8464316
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