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arxiv: 1304.5579 · v1 · pith:HK53CWBQnew · submitted 2013-04-20 · 🧮 math.GR

Quadratic equations in the Grigorchuk group

classification 🧮 math.GR
keywords groupgrigorchukquadraticalgorithmapproachcommutatorcorollarydetermines
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We provide an algorithm which, for a given quadratic equation in the Grigorchuk group determines if it has a solution. As a corollary to our approach, we prove that the group has a finite commutator width.

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