Isometric models for groups with a bi-invariant metric

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 Polański (ORCID: https://orcid.org/0000-0002-3302-2551)

Institutions

Jagiellonian University (PL)

Publication Details

Journal: Studia Mathematica
Published: 2025-01-01
DOI: https://doi.org/10.4064/sm240330-16-5
Primary Topic: Advanced Algebra and Geometry
Type: article
Field-Weighted Citation Impact: 0.00

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article

Isometric models for groups with a bi-invariant metric

Artur Polański

Jan 1, 2025

1 links

Studia Mathematica

Advanced Algebra and Geometry

article

Isometric models for groups with a bi-invariant metric

Artur Polański

January 1, 2025article en

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.

Studia MathematicaVol. 283(1)

Jagiellonian University (PL)

Openalex Percentile: Top 81%

Advanced Algebra and Geometry

DOI Open Access PDF OpenAlex

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Isometric models for groups with a bi-invariant metric — Artur Polański · Studia Mathematica (2025) | TGRS Research Map | TGRS