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arXiv · 1304.5579

Quadratic equations in the Grigorchuk group

Igor Lysenok·Alexei Miasnikov·Alexander Ushakov
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Abstract

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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Igor Lysenok, Alexei Miasnikov, Alexander Ushakov. 2013-04-20. Quadratic equations in the Grigorchuk group. https://arxiv.org/abs/1304.5579

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