Cubulating random quotients of hyperbolic cubulated groups

David Futer; Daniel T. Wise

doi:10.1090/btran/180

Cubulating random quotients of hyperbolic cubulated groups

David Futer
, Daniel T. Wise

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 GB
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

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.1090/btran/180License: CC BY

Cite this

@article{571ad6295d9d4cf6bac15b6ecd491fd6,

title = "Cubulating random quotients of hyperbolic cubulated groups",

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.",

author = "David Futer and Wise, \{Daniel T.\}",

year = "2024",

doi = "10.1090/btran/180",

language = "الإنجليزيّة",

volume = "11",

pages = "622--666",

journal = "Transactions of the American Mathematical Society Series B",

issn = "2330-0000",

publisher = "American Mathematical Society",

}

TY - JOUR

T1 - Cubulating random quotients of hyperbolic cubulated groups

AU - Futer, David

AU - Wise, Daniel T.

PY - 2024

Y1 - 2024

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85189636626

U2 - 10.1090/btran/180

DO - 10.1090/btran/180

M3 - مقالة

SN - 2330-0000

VL - 11

SP - 622

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this