A Cubical Flat Torus Theorem and the Bounded Packing Property
Group Theory
2017-03-14 v3
Abstract
We prove the bounded packing property for any abelian subgroup of a group acting properly and cocompactly on a CAT(0) cube complex. A main ingredient of the proof is a cubical flat torus theorem. This ingredient is also used to show that central HNN extensions of maximal free-abelian subgroups of compact special groups are virtually special, and to produce various examples of groups that are not cocompactly cubulated.
Keywords
Cite
@article{arxiv.1510.00365,
title = {A Cubical Flat Torus Theorem and the Bounded Packing Property},
author = {Daniel T. Wise and Daniel J. Woodhouse},
journal= {arXiv preprint arXiv:1510.00365},
year = {2017}
}
Comments
14 pages, 2 figures, submitted May 2015 Minor corrections and swapped sections 2 and 3 Corrected an unfortunate typo in Theorem 2.1 - the hypothesis that the cube complex be finite dimensional has now been added