Higher dimensional Thompson groups have Serre's property FA

Abstract

The Thompson group V is a subgroup of the homeomorphism group of the Cantor set. Brin defined higher dimensional Thompson groups nV as generalizations of V. We prove that nV has Serre's property FA, for every n. This is a generalization of the corresponding result of Farley, who studied V.

10 pages, 6 figures; Section 1-4 of version 1, title changed

Cited by in corpus (2)

• On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points
• The Bass-Jiang group for automorphism-induced HNN-extensions