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arXiv · 1302.0049

New Examples of Torsion-Free Non-unique Product Groups

William Carter
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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.

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William Carter. 2013-02-01. New Examples of Torsion-Free Non-unique Product Groups. https://arxiv.org/abs/1302.0049

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