Quadratic equations in the Grigorchuk group. (Q260112)
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scientific article; zbMATH DE number 6558484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic equations in the Grigorchuk group. |
scientific article; zbMATH DE number 6558484 |
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Quadratic equations in the Grigorchuk group. (English)
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18 March 2016
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Summary: We prove that the Diophantine problem for quadratic equations in the Grigorchuk group is algorithmically solvable. As a corollary to our approach, we prove that the group has a finite commutator width.
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equations over groups
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Grigorchuck group
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Diophantine problem
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quadratic equations
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products of commutators
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