Hyperbolicity in non-metric cubical small-cancellation

Macarena Arenas; Kasia Jankiewicz; Daniel T. Wise

doi:10.1112/blms.13042

Hyperbolicity in non-metric cubical small-cancellation

Macarena Arenas, Kasia Jankiewicz, Daniel T. Wise

Research output: Contribution to journal › Article › peer-review

Abstract

Given a non-positively curved cube complex (Formula presented.), we prove that the quotient of (Formula presented.) defined by a cubical presentation (Formula presented.) satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that (Formula presented.) is hyperbolic. This generalises the fact that finitely presented classical (Formula presented.) small-cancellation groups are hyperbolic.

Original language	English
Pages (from-to)	2036-2052
Number of pages	17
Journal	Bulletin of the London Mathematical Society
Volume	56
Issue number	6
DOIs	https://doi.org/10.1112/blms.13042
State	Published - Jun 2024
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "Given a non-positively curved cube complex (Formula presented.), we prove that the quotient of (Formula presented.) defined by a cubical presentation (Formula presented.) satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that (Formula presented.) is hyperbolic. This generalises the fact that finitely presented classical (Formula presented.) small-cancellation groups are hyperbolic.",

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N2 - Given a non-positively curved cube complex (Formula presented.), we prove that the quotient of (Formula presented.) defined by a cubical presentation (Formula presented.) satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that (Formula presented.) is hyperbolic. This generalises the fact that finitely presented classical (Formula presented.) small-cancellation groups are hyperbolic.

AB - Given a non-positively curved cube complex (Formula presented.), we prove that the quotient of (Formula presented.) defined by a cubical presentation (Formula presented.) satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that (Formula presented.) is hyperbolic. This generalises the fact that finitely presented classical (Formula presented.) small-cancellation groups are hyperbolic.

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DO - 10.1112/blms.13042

M3 - مقالة

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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ER -

Hyperbolicity in non-metric cubical small-cancellation

Abstract

All Science Journal Classification (ASJC) codes

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