A cubical flat torus theorem and the bounded packing property
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- Wise, D.T. & Woodhouse, D.J. Isr. J. Math. (2017) 217: 263. doi:10.1007/s11856-017-1445-7
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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.