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Classifying virtually special tubular groups

Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4171/GGD/452

Authors


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Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
BK MATHEMATICAL INSTITUTE; D4 MPLS DIVISIONAL OFFICE
Role:
Author
Publisher:
European Mathematical Society Publisher's website
Journal:
Groups, Geometry, and Dynamics Journal website
Volume:
12
Issue:
2
Pages:
679-702
Publication date:
2018-06-04
DOI:
EISSN:
1661-7215
ISSN:
1661-7207
Language:
English
Keywords:
Pubs id:
1140156
Local pid:
pubs:1140156
Deposit date:
2020-11-05

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