Groups, orders, and laws. (Q473148)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups, orders, and laws. |
scientific article |
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Groups, orders, and laws. (English)
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21 November 2014
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Summary: It is unknown -- yet very likely false -- whether left-orderable groups satisfying a non-trivial identity must be virtually solvable. Starting from this, we explore several notions/conjectures/questions that are closely related. As a concrete result, we provide examples of left-orders on the free group satisfying no nontrivial law.
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left-orderable groups
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group laws
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Tits alternative
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