Groups in which every right order is two sided (Q1121930)
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scientific article; zbMATH DE number 4105035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups in which every right order is two sided |
scientific article; zbMATH DE number 4105035 |
Statements
Groups in which every right order is two sided (English)
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1989
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If G is a right orderable group and every right order is two sided, then G is abelian. It follows that the free lattice-ordered group F(G) over a group G exists and is a subdirect product of ordered groups if and only if G (and hence F(G)) is a torsion-free abelian group.
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two sided right order
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right orderable group
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free lattice-ordered group
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subdirect product
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torsion-free abelian group
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