| Autor: |
Dave Witte Morris, Peter A. Linnell |
| Rok vydání: |
2014 |
| Předmět: |
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| Zdroj: |
Groups, Geometry, and Dynamics. 8:467-478 |
| ISSN: |
1661-7207 |
| Popis: |
We show that every amenable group with a locally invariant partial order has a left-invariant total order (and is therefore locally indicable). We also show that if a group G admits a left-invariant total order, and H is a locally nilpotent subgroup of G, then a left-invariant total order on G can be chosen so that its restriction to H is both left-invariant and right-invariant. Both results follow from recurrence properties of the action of G on its binary relations. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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