A cubical flat torus theorem and the bounded packing property |
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Authors: | Daniel T Wise Daniel J Woodhouse |
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Institution: | 1.Department of Mathematics and Statistics,McGill University,Montreal,Canada |
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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. |
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