Hall's Theorem for limit groups
Group Theory
2007-06-07 v4 Geometric Topology
Abstract
A celebrated theorem of Marshall Hall Jr. implies that finitely generated free groups are subgroup separable and that all of their finitely generated subgroups are retracts of finite-index subgroups. We use topological techniques inspired by the work of Stallings to prove that all limit groups share these two properties. This answers a question of Sela.
Keywords
Cite
@article{arxiv.math/0605546,
title = {Hall's Theorem for limit groups},
author = {Henry Wilton},
journal= {arXiv preprint arXiv:math/0605546},
year = {2007}
}
Comments
39 pages, 4 figures, added a double-coset-separability result, to appear in GAFA