#### Volume 14, issue 5 (2014)

 Recent Issues
 The Journal About the Journal Editorial Board Subscriptions Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
The flat closing problem for buildings

### Corina Ciobotaru

Algebraic & Geometric Topology 14 (2014) 3089–3096
##### Abstract

Using the notion of a strongly regular hyperbolic automorphism of a locally finite Euclidean building, we prove that any (not necessarily discrete) closed, cocompact subgroup of the type-preserving automorphisms group of a locally finite general nonspherical building contains a compact-by-${Z}^{d}$ subgroup, where $d$ is the dimension of a maximal flat.

##### Keywords
groups acting on buildings, Gromov's flat closing problem
##### Mathematical Subject Classification 2000
Primary: 57S25, 51E24
Secondary: 20E42, 20F55