JournalsggdVol. 12, No. 2pp. 679–702

Classifying virtually special tubular groups

  • Daniel J. Woodhouse

    Technion - Israel Institute of Technology, Haifa, Israel
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Abstract

A group is tubular if it acts on a tree with Z2\mathbb{Z}^2 vertex stabilizers and Z\mathbb{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.

Cite this article

Daniel J. Woodhouse, Classifying virtually special tubular groups. Groups Geom. Dyn. 12 (2018), no. 2, pp. 679–702

DOI 10.4171/GGD/452