Maximal Nilpotent Quotients of 3-Manifold Groups
Geometric Topology
2016-09-07 v1
Abstract
We show that if the lower central series of the fundamental group of a closed oriented -manifold stabilizes then the maximal nilpotent quotient is a cyclic group, a quaternion -group cross an odd order cyclic group, or a Heisenberg group. These groups are well known to be precisely the nilpotent fundamental groups of closed oriented -manifolds.
Keywords
Cite
@article{arxiv.math/9612216,
title = {Maximal Nilpotent Quotients of 3-Manifold Groups},
author = {Peter Teichner},
journal= {arXiv preprint arXiv:math/9612216},
year = {2016}
}