2015/10/01 by Wise, Daniel T., Woodhouse, Daniel J.
#FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1510.00365
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.