Virtual Specialness of certain graphs of special cube complexes

2019/04/15 by JingYin Huang, Huang, Jingyin, Daniel T. Wise +1 · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1904.06799

openalex publication_date 2019/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the virtual specialness of a compact cube complex X that splits as a graph of nonpositively curved cube complexes. We prove virtual specialness of X when each vertex space of X has word-hyperbolic π₁ and π₁X has ``finite stature'' relative to its edge groups. The results generalize the motivating case when tree × tree lattices are virtual products.

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