VIRTUALLY FIBERING RIGHT-ANGLED COXETER GROUPS

Kasia Jankiewicz; Sergey Norin; Daniel T. Wise

doi:10.1017/S1474748019000422

VIRTUALLY FIBERING RIGHT-ANGLED COXETER GROUPS

Kasia Jankiewicz, Sergey Norin, Daniel T. Wise

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

Abstract

We show that certain right-angled Coxeter groups have finite index subgroups that quotient to with finitely generated kernels. The proof uses Bestvina-Brady Morse theory facilitated by combinatorial arguments. We describe a variety of examples where the plan succeeds or fails. Among the successful examples are the right-angled reflection groups in with fundamental domain the 120-cell or the 24-cell.

Original language	English
Pages (from-to)	957-987
Number of pages	31
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	20
Issue number	3
DOIs	https://doi.org/10.1017/S1474748019000422
State	Published - May 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S1474748019000422

Cite this

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title = "VIRTUALLY FIBERING RIGHT-ANGLED COXETER GROUPS",

abstract = "We show that certain right-angled Coxeter groups have finite index subgroups that quotient to with finitely generated kernels. The proof uses Bestvina-Brady Morse theory facilitated by combinatorial arguments. We describe a variety of examples where the plan succeeds or fails. Among the successful examples are the right-angled reflection groups in with fundamental domain the 120-cell or the 24-cell.",

author = "Kasia Jankiewicz and Sergey Norin and Wise, \{Daniel T.\}",

year = "2021",

month = may,

doi = "10.1017/S1474748019000422",

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journal = "Journal of the Institute of Mathematics of Jussieu",

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AU - Norin, Sergey

AU - Wise, Daniel T.

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N2 - We show that certain right-angled Coxeter groups have finite index subgroups that quotient to with finitely generated kernels. The proof uses Bestvina-Brady Morse theory facilitated by combinatorial arguments. We describe a variety of examples where the plan succeeds or fails. Among the successful examples are the right-angled reflection groups in with fundamental domain the 120-cell or the 24-cell.

AB - We show that certain right-angled Coxeter groups have finite index subgroups that quotient to with finitely generated kernels. The proof uses Bestvina-Brady Morse theory facilitated by combinatorial arguments. We describe a variety of examples where the plan succeeds or fails. Among the successful examples are the right-angled reflection groups in with fundamental domain the 120-cell or the 24-cell.

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U2 - 10.1017/S1474748019000422

DO - 10.1017/S1474748019000422

M3 - مقالة

SN - 1474-7480

VL - 20

SP - 957

EP - 987

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

IS - 3

ER -

VIRTUALLY FIBERING RIGHT-ANGLED COXETER GROUPS

Abstract

All Science Journal Classification (ASJC) codes

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