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

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

Abstract

Let Ф be an automorphism of the finite-rank free group F. Suppose that G = F ⋊Ф ℤ is word-hyperbolic. Then G acts freely and cocompactly on a CAT(0) cube complex.

Original language	English
Pages (from-to)	134-179
Number of pages	46
Journal	Geometric and Functional Analysis
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s00039-015-0314-y
State	Published - Feb 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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

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

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

note = "Publisher Copyright: {\textcopyright} 2015, Springer Basel.",

year = "2015",

month = feb,

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

language = "الإنجليزيّة",

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TY - JOUR

T1 - Cubulating hyperbolic free-by-cyclic groups

T2 - the general case

AU - Hagen, Mark F.

AU - Wise, Daniel T.

PY - 2015/2

Y1 - 2015/2

N2 - Let Ф be an automorphism of the finite-rank free group F. Suppose that G = F ⋊Ф ℤ is word-hyperbolic. Then G acts freely and cocompactly on a CAT(0) cube complex.

AB - Let Ф be an automorphism of the finite-rank free group F. Suppose that G = F ⋊Ф ℤ is word-hyperbolic. Then G acts freely and cocompactly on a CAT(0) cube complex.

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U2 - 10.1007/s00039-015-0314-y

DO - 10.1007/s00039-015-0314-y

M3 - مقالة

SN - 1016-443X

VL - 25

SP - 134

EP - 179

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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