Linear estimates for solutions of quadratic equations in free groups

Details Linear estimates for solutions of quadratic equations in free groups Linear estimates for solutions of quadratic equations in free groups

2011-07-14

arxiv.org/abs/1107.2843v1

Mathematics

Group Theory

Scientific paper

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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