Abstract
We show that if a discrete group acts properly and cocompactly on an –dimensional, thick, Euclidean building, then cannot act properly on a contractible –manifold. As an application, if is a torsion-free –arithmetic group over a number field, we compute the minimal dimension of contractible manifold that admits a proper –action. This partially answers a question of Bestvina, Kapovich, and Kleiner.
Citation
Kevin Schreve. "Action dimension of lattices in Euclidean buildings." Algebr. Geom. Topol. 18 (6) 3257 - 3277, 2018. https://doi.org/10.2140/agt.2018.18.3257
Information