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2017 A generalized axis theorem for cube complexes
Daniel Woodhouse
Algebr. Geom. Topol. 17(5): 2737-2751 (2017). DOI: 10.2140/agt.2017.17.2737

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.

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Daniel Woodhouse. "A generalized axis theorem for cube complexes." Algebr. Geom. Topol. 17 (5) 2737 - 2751, 2017. https://doi.org/10.2140/agt.2017.17.2737

Information

Received: 3 February 2016; Revised: 9 May 2017; Accepted: 8 April 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 06791381
MathSciNet: MR3704240
Digital Object Identifier: 10.2140/agt.2017.17.2737

Subjects:
Primary: 20F65

Rights: Copyright © 2017 Mathematical Sciences Publishers

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