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arXiv · 2504.08084

Generalized torsion in amalgams

Tommy Wuxing Cai·Adam Clay
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Abstract

We give a condition sufficient to ensure that an amalgam of groups is generalized torsion-free. As applications, we construct a closed 3-manifold whose fundamental group is generalized torsion-free and non bi-orderable; a one-relator group which is generalized torsion-free and non bi-orderable; and a group which is generalized torsion-free and non left-orderable.

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Tommy Wuxing Cai, Adam Clay. 2025-04-10. Generalized torsion in amalgams. https://arxiv.org/abs/2504.08084

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