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Tubular Free by Cyclic Groups Act Freely on CAT(0) Cube Complexes
Published online by Cambridge University Press: 20 November 2018
Abstract
We identify when a tubular group (the fundamental group of a finite graph of groups with ${{\mathbb{Z}}^{2}}$ vertex and $\mathbb{Z}$ edge groups) is free by cyclic and show, using Wise’s equitable sets criterion, that every tubular free by cyclic group acts freely on a $\text{CAT}\left( 0 \right)$ cube complex.
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- Research Article
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- Copyright © Canadian Mathematical Society 2017
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