Classifying virtually special tubular groups
- A group is tubular if it acts on a tree with Z2 vertex stabilizers and Z edge stabilizers. We prove that a tubular group being virtually special is equivalent to it acting freely on either a locally finite or finite dimensional CAT(0) cube complex. Furthermore, we prove that if a tubular group acts freely on a finite dimensional CAT(0) cube complex, then it virtually acts freely on a three dimensional CAT(0) cube complex.
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- Peer reviewed
(Accepted manuscript, 377.9KB)
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- European Mathematical Society Publisher's website
- Groups, Geometry, and Dynamics Journal website
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- EMS Publishing House.
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- © 2018 EMS Publishing House. All rights reserved.
- This is the accepted manuscript version of the article. The final version is available from EMS at: http://dx.doi.org/10.4171/GGD/452
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