Unique product groups and congruence subgroups
Group Theory
2020-09-25 v3
Abstract
We prove that a uniform pro-p group with no nonabelian free subgroups has a normal series with torsion-free abelian factors. We discuss this in relation to unique product groups. We also consider generalizations of Hantzsche-Wendt groups.
Cite
@article{arxiv.2003.04945,
title = {Unique product groups and congruence subgroups},
author = {William Craig and Peter A. Linnell},
journal= {arXiv preprint arXiv:2003.04945},
year = {2020}
}
Comments
8 pages, v2 minor changes, v3 minor changes, accepted by Journal of Algebra and its Applications