Strong and uniform boundedness of groups-Reference-Cited by-同舟云学术

Strong and uniform boundedness of groups

Published:2021-09-24 Issue: Volume: Page:1-33
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

Kędra Jarek¹,Libman Assaf¹,Martin Ben¹

Affiliation:

1. Institute of Mathematics, University of Aberdeen, King’s College, Fraser Noble Building, Aberdeen AB24 3UE, UK

Abstract

A group [Formula: see text] is called bounded if every conjugation-invariant norm on [Formula: see text] 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.

Funder

Leverhulme Trust Research Project

Publisher

World Scientific Pub Co Pte Ltd

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525321500497

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