Journal article
A generalized axis theorem for cube complexes
- Abstract:
- We consider a finitely generated virtually abelian group G acting properly and without inversions on a CAT(0) cube complex X. We prove that G stabilizes a finite-dimensional CAT(0) subcomplex Y ⊆ X that is isometrically embedded in the combinatorial metric. Moreover, we show that Y is a product of finitely many quasilines. The result represents a higher-dimensional generalization of Haglund's axis theorem.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, 285.3KB, Terms of use)
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- Publisher copy:
- 10.2140/agt.2017.17.2737
Authors
- Publisher:
- Mathematical Sciences Publishers
- Journal:
- Algebraic and Geometric Topology More from this journal
- Volume:
- 17
- Issue:
- 5
- Pages:
- 2737-2751
- Publication date:
- 2017-09-19
- Acceptance date:
- 2017-04-08
- DOI:
- EISSN:
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1472-2739
- ISSN:
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1472-2747
- Language:
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English
- Keywords:
- Pubs id:
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1140157
- Local pid:
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pubs:1140157
- Deposit date:
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2020-11-05
Terms of use
- Copyright date:
- 2017
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Mathematical Sciences Publishers at https://doi.org/10.2140/agt.2017.17.2737
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