Cubulating hyperbolic free-by-cyclic groups: the general case

Mark F. Hagen; Daniel T. Wise

doi:10.1007/s00039-015-0314-y

Cubulating hyperbolic free-by-cyclic groups: the general case

Mark F. Hagen, Daniel T. Wise

School of Mathematics

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

40 Citations (Scopus)

26 Downloads (Pure)

Abstract

Let $\Phi:F\rightarrow F$ be an automorphism of the finite-rank free group $F$. Suppose that $G=F\rtimes_\Phi\mathbb Z$ is word-hyperbolic. Then $G$ acts freely and cocompactly on a CAT(0) cube complex.

Original language	English
Journal	Geometric and Functional Analysis
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s00039-015-0314-y
Publication status	Published - 12 Jun 2014

Bibliographical note

36 pages, 11 figures. Version 2 contains minor corrections. Accepted to GAFA

Keywords

math.GR

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10.1007/s00039-015-0314-y

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Dr Mark F Hagen
- mark.hagenbristol.acuk
- School of Mathematics - Associate Professor
Person: Academic

Cite this

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title = "Cubulating hyperbolic free-by-cyclic groups: the general case",

abstract = "Let $\Phi:F\rightarrow F$ be an automorphism of the finite-rank free group $F$. Suppose that $G=F\rtimes_\Phi\mathbb Z$ is word-hyperbolic. Then $G$ acts freely and cocompactly on a CAT(0) cube complex.",

keywords = "math.GR",

author = "Hagen, {Mark F.} and Wise, {Daniel T.}",

note = "36 pages, 11 figures. Version 2 contains minor corrections. Accepted to GAFA",

year = "2014",

month = jun,

day = "12",

doi = "10.1007/s00039-015-0314-y",

language = "English",

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issn = "1016-443X",

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T1 - Cubulating hyperbolic free-by-cyclic groups

T2 - the general case

AU - Hagen, Mark F.

AU - Wise, Daniel T.

N1 - 36 pages, 11 figures. Version 2 contains minor corrections. Accepted to GAFA

PY - 2014/6/12

Y1 - 2014/6/12

N2 - Let $\Phi:F\rightarrow F$ be an automorphism of the finite-rank free group $F$. Suppose that $G=F\rtimes_\Phi\mathbb Z$ is word-hyperbolic. Then $G$ acts freely and cocompactly on a CAT(0) cube complex.

AB - Let $\Phi:F\rightarrow F$ be an automorphism of the finite-rank free group $F$. Suppose that $G=F\rtimes_\Phi\mathbb Z$ is word-hyperbolic. Then $G$ acts freely and cocompactly on a CAT(0) cube complex.

KW - math.GR

U2 - 10.1007/s00039-015-0314-y

DO - 10.1007/s00039-015-0314-y

M3 - Article (Academic Journal)

SN - 1016-443X

VL - 25

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 1

ER -

Cubulating hyperbolic free-by-cyclic groups: the general case

Abstract

Bibliographical note

Keywords

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Dr Mark F Hagen

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