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arXiv · 1107.2843

Linear estimates for solutions of quadratic equations in free groups

Olga Kharlampovich·Alina Vdovina
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Abstract

We prove that in a free group the length of the value of each variable in a minimal solution of a standard quadratic equation is bounded by $2s$ for orientable equation and by $12s^4$ for non-orientable equation, where $s$ is the sum of the lengths of the coefficients

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Olga Kharlampovich, Alina Vdovina. 2011-07-14. Linear estimates for solutions of quadratic equations in free groups. https://arxiv.org/abs/1107.2843

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