Strong and uniform boundedness of groups

Published 6 Aug 2018 in math.GR and math.SG | (1808.01815v3)

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.

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