Isometric models for groups with a bi-invariant metric

Artur Polański

doi:10.4064/sm240330-16-5

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Studia Mathematica / All issues

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Isometric models for groups with a bi-invariant metric

Volume 283 / 2025

Artur Polański Studia Mathematica 283 (2025), 43-65 MSC: Primary 22A05; Secondary 54E50 DOI: 10.4064/sm240330-16-5 Published online: 12 June 2025

Abstract

We prove that every group with a bi-invariant metric is isometrically isomorphic to the full isometry group (equipped with the supremum metric) of some metric space.

Authors

Artur PolańskiFaculty of Mathematics and Computer Science
Jagiellonian University
30-348 Kraków, Poland
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Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Studia Mathematica / All issues

Studia Mathematica

Isometric models for groups with a bi-invariant metric

Volume 283 / 2025

Abstract

Authors

Search for IMPAN publications

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