Maximality of the hypercube group (Q1567154)
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scientific article; zbMATH DE number 1455478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximality of the hypercube group |
scientific article; zbMATH DE number 1455478 |
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Maximality of the hypercube group (English)
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4 April 2001
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It is proved that the hypercube group \(B_n\) is maximal in the orthogonal group \(O(n)\) as a closed subgroup when \(n=3\) or \(n\geq 5\). When \(n=4\), all closed intermediate groups are described. The result can be used in equivariant bifurcation theory.
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hypercube groups
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orthogonal groups
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maximal subgroups
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0.87218094
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