Foldings, graphs of groups and the membership problem
Group Theory
2007-05-23 v2
Abstract
We introduce a combinatorial version of Stallings-Bestvina-Feighn-Dunwoody folding sequences. We then show how they are useful in analyzing the solvability of the uniform subgroup membership problem for fundamental groups of graphs of groups. Applications include coherent right-angled Artin groups and coherent solvable groups.
Cite
@article{arxiv.math/0302206,
title = {Foldings, graphs of groups and the membership problem},
author = {Ilya Kapovich and Richard Weidmann and Alexei Myasnikov},
journal= {arXiv preprint arXiv:math/0302206},
year = {2007}
}
Comments
Final updated version, to appear in the International Journal of Algebra and Computation