Geodesic
Classifying virtually special tubular groups
Daniel J. Woodhouse1
1Technion - Israel Institute of Technology, Haifa, Israel
Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 679-702

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DOI

A group is tubular if it acts on a tree with Z2 vertex stabilizers and Z edge stabilizers. We prove that a tubular group is virtually special if and only if it acts freely on a locally finite 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.
DOI : 10.4171/ggd/452
Classification : 20-XX, 51-XX
Mots-clés : CAT(0) cube complex, tubular group, virtually special, graphs of groups

Daniel J. Woodhouse  1

1 Technion - Israel Institute of Technology, Haifa, Israel 
Daniel J. Woodhouse. Classifying virtually special tubular groups. Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 679-702. doi: 10.4171/ggd/452
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     doi = {10.4171/ggd/452},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/452/}
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