On groups with infinitely many right orders (Q1375022)
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scientific article; zbMATH DE number 1099510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On groups with infinitely many right orders |
scientific article; zbMATH DE number 1099510 |
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On groups with infinitely many right orders (English)
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5 January 1998
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The following question is discussed: How many right orders may a group possess? The main theorem: The number of right orders of a nontrivial locally indicable group is either \(2^n\), where \(n\) is a positive integer, or uncountable. Corollary: The number of right orders on an orderable group is either 2 or uncountable.
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orderable groups
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right-orderable groups
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locally indicable groups
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convex subgroups
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