Stallings’ folds for cube complexes

Benjamin Beeker; Nir Lazarovich

doi:10.1007/s11856-018-1730-0

Stallings’ folds for cube complexes

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

Abstract

We describe a higher dimensional analogue of Stallings’ folding sequences for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups that act properly and cocompactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.

Original language	English
Pages (from-to)	331-363
Number of pages	33
Journal	Israel Journal of Mathematics
Volume	227
Issue number	1
DOIs	https://doi.org/10.1007/s11856-018-1730-0
State	Published - 1 Aug 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-018-1730-0

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title = "Stallings{\textquoteright} folds for cube complexes",

abstract = "We describe a higher dimensional analogue of Stallings{\textquoteright} folding sequences for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups that act properly and cocompactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.",

author = "Benjamin Beeker and Nir Lazarovich",

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doi = "10.1007/s11856-018-1730-0",

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T1 - Stallings’ folds for cube complexes

AU - Beeker, Benjamin

AU - Lazarovich, Nir

PY - 2018/8/1

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N2 - We describe a higher dimensional analogue of Stallings’ folding sequences for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups that act properly and cocompactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.

AB - We describe a higher dimensional analogue of Stallings’ folding sequences for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups that act properly and cocompactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.

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U2 - 10.1007/s11856-018-1730-0

DO - 10.1007/s11856-018-1730-0

M3 - مقالة

SN - 0021-2172

VL - 227

SP - 331

EP - 363

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Stallings’ folds for cube complexes

Abstract

All Science Journal Classification (ASJC) codes

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