Virtual specialness of certain graphs of special cube complexes

Jingyin Huang; Daniel T. Wise

doi:10.1007/s00208-022-02527-0

Virtual specialness of certain graphs of special cube complexes

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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.

Original language	English
Pages (from-to)	329-357
Number of pages	29
Journal	Mathematische Annalen
Volume	388
Issue number	1
DOIs	https://doi.org/10.1007/s00208-022-02527-0
State	Published - Jan 2024
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-022-02527-0

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title = "Virtual specialness of certain graphs of special cube complexes",

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.",

author = "Jingyin Huang and Wise, \{Daniel T.\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

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doi = "10.1007/s00208-022-02527-0",

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AB - 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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DO - 10.1007/s00208-022-02527-0

M3 - مقالة

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EP - 357

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1

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Virtual specialness of certain graphs of special cube complexes

Abstract

All Science Journal Classification (ASJC) codes

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