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

62 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	arXiv
Publication status	Submitted - 17 Mar 2016

Keywords

math.GR
20F06, 20F65, 20F67

Access to Document

Full-text PDF (submitted manuscript)
This is the submitted manuscript (SM). This version is also available via arXiv at https://arxiv.org/abs/1603.05725 . Please refer to any applicable terms of use of the publisher.
Submitted manuscript, 5.39 MB

https://arxiv.org/abs/1603.05725

Fingerprint Dive into the research topics of 'Acylindrical hyperbolicity of cubical small-cancellation groups'. Together they form a unique fingerprint.

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 = "math.GR, 20F06, 20F65, 20F67",

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

year = "2016",

month = mar,

day = "17",

language = "English",

journal = "arXiv",

publisher = "Cornell University",

}

TY - JOUR

T1 - Acylindrical hyperbolicity of cubical small-cancellation groups

AU - Arzhantseva, Goulnara N.

AU - Hagen, Mark F.

PY - 2016/3/17

Y1 - 2016/3/17

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 - math.GR

KW - 20F06, 20F65, 20F67

UR - https://arxiv.org/abs/1603.05725

M3 - Article (Academic Journal)

JO - arXiv

JF - arXiv

ER -