Cubulating random quotients of hyperbolic cubulated groups

David Futer; Daniel T. Wise

doi:10.1090/btran/180

Cubulating random quotients of hyperbolic cubulated groups

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

Abstract

We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group.

Original language	English
Pages (from-to)	622-666
Number of pages	45
Journal	Transactions of the American Mathematical Society Series B
Volume	11
DOIs	https://doi.org/10.1090/btran/180
State	Published - 2024
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1090/btran/180License: CC BY

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abstract = "We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group.",

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AB - We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group.

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U2 - 10.1090/btran/180

DO - 10.1090/btran/180

M3 - مقالة

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EP - 666

JO - Transactions of the American Mathematical Society Series B

JF - Transactions of the American Mathematical Society Series B

ER -

Cubulating random quotients of hyperbolic cubulated groups

Abstract

All Science Journal Classification (ASJC) codes

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