The subgroups of finite orders in \(K_2\mathbb{Q}\) (Q2708737)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The subgroups of finite orders in \(K_2\mathbb{Q}\) |
scientific article |
Statements
17 April 2001
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Milnor \(K\)-group
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The subgroups of finite orders in \(K_2\mathbb{Q}\) (English)
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Let \(\Phi_n\) be the \(n\)th cyclotomic polynomial, and let \(G_n({\mathbb Q})\) be the subset of \(K_n({\mathbb Q})\) comprising the symbols \(\{x,\Phi(x)\}\) for \(x \in {\mathbb Q}\), \(x \neq 0\). The author shows that \(G_n({\mathbb Q})\) is not a subgroup of \(K_2({\mathbb Q})\) when \(n = 5\) or \(7\).NEWLINENEWLINEFor the entire collection see [Zbl 0949.00018].
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