Profinite detection of 3-manifold decompositions
Group Theory
2019-02-20 v3 Geometric Topology
Abstract
The profinite completion of the fundamental group of a closed, orientable -manifold determines the Kneser--Milnor decomposition. If is irreducible, then the profinite completion determines the Jaco--Shalen--Johannson decomposition of .
Keywords
Cite
@article{arxiv.1703.03701,
title = {Profinite detection of 3-manifold decompositions},
author = {Henry Wilton and Pavel Zalesskii},
journal= {arXiv preprint arXiv:1703.03701},
year = {2019}
}
Comments
20 pages, no figures. v2: Added Corollary C. v3: Referee's comments incorporated. This is the version accepted for publication