Israel Journal of Mathematics

, Volume 217, Issue 1, pp 263–281 | Cite as

A cubical flat torus theorem and the bounded packing property

  • Daniel T. Wise
  • Daniel J. WoodhouseEmail author


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.


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Copyright information

© Hebrew University of Jerusalem 2017

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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