Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings

Published 22 Dec 2021 in math.GR | (2112.11744v1)

Abstract: We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disconnected locally compact groups acting on trees and buildings have the property that every continuous homomorphic image of the group is closed.

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