Quadratic equations in the grigorchuk group

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Abstract

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.

Original languageEnglish
Pages (from-to)201-239
Number of pages39
JournalGroups, Geometry, and Dynamics
Volume10
Issue number1
DOIs
StatePublished - 2016

Keywords

  • Diophantine problem
  • Grigorchuck group
  • Quadratic equations

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