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...
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| Format: | Journal article |
| Language: | English |
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European Mathematical Society
2018
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| Summary: | 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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