New Examples of Torsion-Free Non-unique Product Groups
Group Theory
2013-11-26 v4
Abstract
We give an infinite family of torsion-free groups that do not satisfy the unique product property. For these examples, we also show that each group contains arbitrarily large sets whose square has no uniquely represented element.
Keywords
Cite
@article{arxiv.1302.0049,
title = {New Examples of Torsion-Free Non-unique Product Groups},
author = {William Carter},
journal= {arXiv preprint arXiv:1302.0049},
year = {2013}
}
Comments
Incorporates referee's suggestions, updated references