New Examples of Torsion-Free Non-unique Product Groups

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Carter, William;
(2013)
  • Subject: 20F05 (primary), 20C07 (secondary) | Mathematics - Group Theory

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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    Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA Email:wcarter@math.ou.edu

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