publication . Preprint . 2013

New Examples of Torsion-Free Non-unique Product Groups

Carter, William;
Open Access English
  • Published: 31 Jan 2013
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.
free text keywords: Mathematics - Group Theory, 20F05 (primary), 20C07 (secondary)
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Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA

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