The flat closing problem for buildings
Group Theory
2014-11-26 v2
Abstract
Using the notion of a strongly regular hyperbolic automorphism of a locally finite Euclidean building, we prove that any (not necessarily discrete) closed, co-compact subgroup of the type-preserving automorphisms group of a locally finite general non-spherical building contains a compact-by-Z^d subgroup, where d is the dimension of a maximal flat.
Cite
@article{arxiv.1402.5554,
title = {The flat closing problem for buildings},
author = {Corina Ciobotaru},
journal= {arXiv preprint arXiv:1402.5554},
year = {2014}
}
Comments
To appear in Algebraic and Geometric Topology, final version