Conjugacy classes of solutions to equations and inequations over hyperbolic groups
Group Theory
2014-02-26 v2
Abstract
We study conjugacy classes of solutions to systems of equations and inequations over torsion-free hyperbolic groups, and describe an algorithm to recognize whether or not there are finitely many conjugacy classes of solutions to such a system. The class of immutable subgroups of hyperbolic groups is introduced, which is fundamental to the study of equations in this context. We apply our results to enumerate the immutable subgroups of a torsion-free hyperbolic group.
Cite
@article{arxiv.0710.1892,
title = {Conjugacy classes of solutions to equations and inequations over hyperbolic groups},
author = {Daniel Groves and Henry Wilton},
journal= {arXiv preprint arXiv:0710.1892},
year = {2014}
}
Comments
28 pages; referee's comments incorporated; to appear in the Journal of Topology