Bi-orderability and generalized torsion elements from the perspective of profinite properties

Wonyong Jang; Junseok Kim

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arXiv · 2504.20455

Bi-orderability and generalized torsion elements from the perspective of profinite properties

Wonyong Jang·Junseok Kim

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Abstract

Using fiber products, we construct bi-orderable groups from left-orderable groups. As an application, we show that bi-orderability is not a profinite property, answering a question of Piwek and Wykowski negatively. We also show that the existence of a generalized torsion element is not a profinite property.

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Wonyong Jang, Junseok Kim. 2025-04-29. Bi-orderability and generalized torsion elements from the perspective of profinite properties. https://arxiv.org/abs/2504.20455

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