Acylindrical hyperbolicity of cubical small-cancellation groups

Goulnara N. Arzhantseva; Mark F. Hagen

Acylindrical hyperbolicity of cubical small-cancellation groups

Goulnara N. Arzhantseva, Mark F. Hagen

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

64 Downloads (Pure)

Abstract

We provide an analogue of Strebel's classification of geodesic triangles in classical $C'(\frac16)$ groups for groups given by Wise's cubical presentations satisfying sufficiently strong metric cubical small-cancellation conditions. Using our classification, we prove that, except in specific degenerate cases, such groups are acylindrically hyperbolic.

Original language	English
Number of pages	37
Journal	Algebraic and Geometric Topology
Publication status	Accepted/In press - 6 Apr 2021

Keywords

cubical small cancellation
acylindrically hyperbolic group

Embargoed Document

Full-text PDF (author’s accepted manuscript)
Accepted author manuscript, 6.18 MB
Embargo ends: 1/01/99
Request copy

Cite this

@article{db25be342ed8451592561f0467b85a2c,

title = "Acylindrical hyperbolicity of cubical small-cancellation groups",

abstract = "We provide an analogue of Strebel's classification of geodesic triangles in classical $C'(\frac16)$ groups for groups given by Wise's cubical presentations satisfying sufficiently strong metric cubical small-cancellation conditions. Using our classification, we prove that, except in specific degenerate cases, such groups are acylindrically hyperbolic.",

keywords = "cubical small cancellation, acylindrically hyperbolic group",

author = "Arzhantseva, {Goulnara N.} and Hagen, {Mark F.}",

year = "2021",

month = apr,

day = "6",

language = "English",

journal = "Algebraic and Geometric Topology",

issn = "1472-2747",

publisher = "Agriculture.gr",

}

TY - JOUR

T1 - Acylindrical hyperbolicity of cubical small-cancellation groups

AU - Arzhantseva, Goulnara N.

AU - Hagen, Mark F.

PY - 2021/4/6

Y1 - 2021/4/6

N2 - We provide an analogue of Strebel's classification of geodesic triangles in classical $C'(\frac16)$ groups for groups given by Wise's cubical presentations satisfying sufficiently strong metric cubical small-cancellation conditions. Using our classification, we prove that, except in specific degenerate cases, such groups are acylindrically hyperbolic.

AB - We provide an analogue of Strebel's classification of geodesic triangles in classical $C'(\frac16)$ groups for groups given by Wise's cubical presentations satisfying sufficiently strong metric cubical small-cancellation conditions. Using our classification, we prove that, except in specific degenerate cases, such groups are acylindrically hyperbolic.

KW - cubical small cancellation

KW - acylindrically hyperbolic group

M3 - Article (Academic Journal)

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

SN - 1472-2747

ER -

Acylindrical hyperbolicity of cubical small-cancellation groups

Abstract

Keywords

Embargoed Document

Fingerprint

Cite this