Linear estimates for solutions of quadratic equations in free groups
Group Theory
2011-07-15 v1
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 for orientable equation and by for non-orientable equation, where is the sum of the lengths of the coefficients
Cite
@article{arxiv.1107.2843,
title = {Linear estimates for solutions of quadratic equations in free groups},
author = {Olga Kharlampovich and Alina Vdovina},
journal= {arXiv preprint arXiv:1107.2843},
year = {2011}
}