Self homotopy groups with large nilpotency classes (Q2502964)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self homotopy groups with large nilpotency classes |
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Self homotopy groups with large nilpotency classes (English)
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13 September 2006
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Let \(G\) be a compact connected Lie group. Then the self homotopy group \([G,G]\) is a nilpotent group. The authors show that for any positive integer \(n\) there exists a \(G\) with \([G,G]\) having nilpotency class greater than \(n\).
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compact connected Lie group
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self homotopy group
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nilpotency class
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