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arXiv · 1107.1707

A polynomial bound on solutions of quadratic equations in free groups

Igor Lysenok·Alexei Myasnikov
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Abstract

We provide polynomial upper bounds on the size of a shortest solution for quadratic equations in a free group. A similar bound is given for parametric solutions in the description of solutions sets of quadratic equations in a free group.

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Igor Lysenok, Alexei Myasnikov. 2011-07-08. A polynomial bound on solutions of quadratic equations in free groups. https://arxiv.org/abs/1107.1707

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