Strong and uniform boundedness of groups
Group Theory
2021-09-29 v3 Symplectic Geometry
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.
Cite
@article{arxiv.1808.01815,
title = {Strong and uniform boundedness of groups},
author = {Jarek Kędra and Assaf Libman and Ben Martin},
journal= {arXiv preprint arXiv:1808.01815},
year = {2021}
}
Comments
28 pages; revised version; accepted in Journal of Topology and Analysis