A polynomial bound on solutions of quadratic equations in free groups
Group Theory
2011-07-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1107.1707,
title = {A polynomial bound on solutions of quadratic equations in free groups},
author = {Igor Lysenok and Alexei Myasnikov},
journal= {arXiv preprint arXiv:1107.1707},
year = {2011}
}
Comments
41 pages, 10 figures