Mathematics > Group Theory
[Submitted on 19 Dec 2022 (v1), last revised 29 Jan 2024 (this version, v2)]
Title:Cubulating a free-product-by-cyclic group
View PDFAbstract:Let $G = H_1 * ... * H_k * F_r$ be a torsion-free group and $\phi$ an automorphism of $G$ that preserves this free factor system. We show that when $\phi$ is fully irreducible and atoroidal relative to this free factor system, the mapping torus $\Gamma = G \rtimes_{\phi} \mathbb{Z}$ acts relatively geometrically on a hyperbolic CAT(0) cube complex. This is a generalisation of a result of Hagen and Wise for hyperbolic free-by-cyclic groups.
Submission history
From: Suraj Krishna M. S. [view email][v1] Mon, 19 Dec 2022 21:40:22 UTC (45 KB)
[v2] Mon, 29 Jan 2024 16:07:55 UTC (49 KB)
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