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

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.

Authors

JUNSEOK KIM (ORCID: https://orcid.org/0000-0002-6563-6275)
Wonyong Jang

Institutions

Korea Advanced Institute of Science and Technology (KR)
Technion – Israel Institute of Technology (IL)
National Institute for Mathematical Sciences (KR)

Publication Details

Journal: Bulletin of the London Mathematical Society
Published: 2026-02-25
DOI: https://doi.org/10.1112/blms.70308
Primary Topic: Homotopy and Cohomology in Algebraic Topology
Type: article
Field-Weighted Citation Impact: 0.00

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article

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

JUNSEOK KIM, Wonyong Jang

Feb 25, 2026

Bulletin of the London Mathematical Society

Homotopy and Cohomology in Algebraic Topology

article

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

JUNSEOK KIM, Wonyong Jang

February 25, 2026article en

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 58(3)

Korea Advanced Institute of Science and Technology (KR), Technion – Israel Institute of Technology (IL), National Institute for Mathematical Sciences (KR)

Openalex Percentile: Top 26%

Homotopy and Cohomology in Algebraic Topology

DOI Source OpenAlex

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