Strong and uniform boundedness of groups

Jarek Kedra; Assaf Libman; Ben Martin

doi:10.1142/S1793525321500497

Strong and uniform boundedness of groups

Jarek Kedra, Assaf Libman, Ben Martin

Mathematical Science

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

1 Downloads (Pure)

Abstract

A group G is called bounded if every conjugation-invariant norm on G has finite diameter. We introduce various strengthenings of this property and investigate them in several classes of groups including semisimple Lie groups, arithmetic groups and linear algebraic groups. We provide applications to Hamiltonian dynamics.

Original language	English
Journal	Journal of Topology and Analysis
Early online date	24 Sep 2021
DOIs	https://doi.org/10.1142/S1793525321500497
Publication status	E-pub ahead of print - 24 Sep 2021

Keywords

Bounded group
conjugation-invariant norm
lattice
Lie group
linear algebraic groups
symplectic manifold
quasimorphism

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Kedra_etal_JTA_Strong_And_Uniform_AAM
Electronic version of an article published as [Journal of Topology and Analysis, Volume, Issue, Year, Pages] [Article DOI] © [copyright World Scientific Publishing Company] [Journal URL]
Accepted author manuscript, 564 KBLicence: Unspecified

Cite this

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AU - Libman, Assaf

AU - Martin, Ben

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KW - Bounded group

KW - conjugation-invariant norm

KW - lattice

KW - Lie group

KW - linear algebraic groups

KW - symplectic manifold

KW - quasimorphism

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DO - 10.1142/S1793525321500497

M3 - Article

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

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ER -

Strong and uniform boundedness of groups

Abstract

Keywords

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