Surprising circles in Morse boundaries of right-angled Coxeter groups

Marius Graeber; Annette Karrer; Nir Lazarovich; Emily Stark

doi:10.1016/j.topol.2021.107645

Surprising circles in Morse boundaries of right-angled Coxeter groups

Marius Graeber, Annette Karrer, Nir Lazarovich, Emily Stark

Technion - Israel Institute of Technology

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

Abstract

We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining graph.

Original language	English
Article number	107645
Journal	Topology and its Applications
Volume	294
DOIs	https://doi.org/10.1016/j.topol.2021.107645
State	Published - 1 May 2021

Keywords

Group boundaries
Right-angled Coxeter groups

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2021.107645

Cite this

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title = "Surprising circles in Morse boundaries of right-angled Coxeter groups",

abstract = "We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining graph.",

keywords = "Group boundaries, Right-angled Coxeter groups",

author = "Marius Graeber and Annette Karrer and Nir Lazarovich and Emily Stark",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2021",

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day = "1",

doi = "10.1016/j.topol.2021.107645",

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AU - Graeber, Marius

AU - Karrer, Annette

AU - Lazarovich, Nir

AU - Stark, Emily

PY - 2021/5/1

Y1 - 2021/5/1

N2 - We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining graph.

AB - We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining graph.

KW - Group boundaries

KW - Right-angled Coxeter groups

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U2 - 10.1016/j.topol.2021.107645

DO - 10.1016/j.topol.2021.107645

M3 - مقالة

SN - 0166-8641

VL - 294

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 107645

ER -

Surprising circles in Morse boundaries of right-angled Coxeter groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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