Lower central subgroups of a free group and its subgroup
Geometric Topology
2018-07-12 v1 Group Theory
Abstract
For a given free group of arbitrary rank (possibly infinite), and its subgroup , we address the question whether a lower central subgroup of can contain a lower central subgroup of . We show that the answer is no if does not normally generate . The question comes from a study of Hirzebruch-type invariants from iterated -covers for 3-dimensional homology cylinders.
Keywords
Cite
@article{arxiv.1807.04002,
title = {Lower central subgroups of a free group and its subgroup},
author = {Minkyoung Song},
journal= {arXiv preprint arXiv:1807.04002},
year = {2018}
}