Completion of invariant locally nilpotent subgroups of fully ordered groups (Q1311066)
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scientific article; zbMATH DE number 484236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completion of invariant locally nilpotent subgroups of fully ordered groups |
scientific article; zbMATH DE number 484236 |
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Completion of invariant locally nilpotent subgroups of fully ordered groups (English)
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8 February 1994
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It is proved that any fully ordered (FO) group \(G\) with an invariant locally nilpotent subgroup \(H\) admits an order-preserving embedding into a fully ordered group \(G^*\) with an invariant locally nilpotent complete subgroup \(H^*\) such that \(H\leq H^*\). In particular, this solves Problem 1.61 in the Kourovka notebook, 9th ed. (1984; Zbl 0552.20001).
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fully ordered group
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invariant locally nilpotent subgroup
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order- preserving embedding
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0.7694648504257202
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0.7662889361381531
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0.7461069226264954
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