Quadratic equations in the Grigorchuk group
Group Theory
2013-04-23 v1
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.
Cite
@article{arxiv.1304.5579,
title = {Quadratic equations in the Grigorchuk group},
author = {Igor Lysenok and Alexei Miasnikov and Alexander Ushakov},
journal= {arXiv preprint arXiv:1304.5579},
year = {2013}
}