Action Dimension of Lattices in Euclidean Buildings
Geometric Topology
2018-10-24 v1 Group Theory
Abstract
The action dimension of a group G is the minimal dimension of a contractible manifold that G acts on properly discontinuously. We show that if G acts properly and cocompactly on a thick Euclidean building, then the action dimension is bounded below by twice the dimension of the building. We also compute the action dimension of S-arithmetic groups over number fields, partially answering a question of Bestvina, Kapovich, and Kleiner.
Cite
@article{arxiv.1703.00616,
title = {Action Dimension of Lattices in Euclidean Buildings},
author = {Kevin Schreve},
journal= {arXiv preprint arXiv:1703.00616},
year = {2018}
}
Comments
15 pages, 2 figures