A polynomial bound on solutions of quadratic equations in free groups

Details A polynomial bound on solutions of quadratic equations in free groups A polynomial bound on solutions of quadratic equations in free groups

2011-07-08

arxiv.org/abs/1107.1707v1

Mathematics

Group Theory

41 pages, 10 figures

Scientific paper

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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