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arxiv: 1107.1707 · v1 · pith:ARAB2KYMnew · submitted 2011-07-08 · 🧮 math.GR

A polynomial bound on solutions of quadratic equations in free groups

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keywords equationsfreequadraticsolutionsboundgrouppolynomialbounds
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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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