One-ended subgroups of graphs of free groups with cyclic edge groups
Group Theory
2014-11-11 v2 Geometric Topology
Abstract
Consider a one-ended word-hyperbolic group. If it is the fundamental group of a graph of free groups with cyclic edge groups then either it is the fundamental group of a surface or it contains a finitely generated one-ended subgroup of infinite index. As a corollary, the same holds for limit groups. We also obtain a characterisation of surfaces with boundary among free groups equipped with peripheral structures.
Keywords
Cite
@article{arxiv.1102.2866,
title = {One-ended subgroups of graphs of free groups with cyclic edge groups},
author = {Henry Wilton},
journal= {arXiv preprint arXiv:1102.2866},
year = {2014}
}
Comments
22 pages, 3 figures, corrected typos in the introduction