New Examples of Torsion-Free Non-unique Product Groups
classification
🧮 math.GR
keywords
examplesgroupsproducttorsion-freearbitrarilycontainselementfamily
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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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