Alternating subgroups of Coxeter groups

Francesco Brenti; Victor Reiner; Yuval Roichman

doi:10.1016/j.jcta.2007.10.004

Alternating subgroups of Coxeter groups

Francesco Brenti, Victor Reiner, Yuval Roichman

Department of Mathematics

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

10 Scopus citations

Abstract

We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.

Original language	English
Pages (from-to)	845-877
Number of pages	33
Journal	Journal of Combinatorial Theory. Series A
Volume	115
Issue number	5
DOIs	https://doi.org/10.1016/j.jcta.2007.10.004
State	Published - Jul 2008

Bibliographical note

Funding Information:
E-mail addresses: [email protected] (F. Brenti), [email protected] (V. Reiner), [email protected] (Y. Roichman). 1 Second author supported by NSF grant DMS-0245379. 2 Third author supported in part by the Israel Science Foundation grant No. 947/04.

Funding

E-mail addresses: [email protected] (F. Brenti), [email protected] (V. Reiner), [email protected] (Y. Roichman). 1 Second author supported by NSF grant DMS-0245379. 2 Third author supported in part by the Israel Science Foundation grant No. 947/04.

Funders	Funder number
National Science Foundation	DMS-0245379
Israel Science Foundation	947/04

Keywords

Alternating group
Coxeter group
Length
Poincaré series
Presentation

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10.1016/j.jcta.2007.10.004

Cite this

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title = "Alternating subgroups of Coxeter groups",

abstract = "We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.",

keywords = "Alternating group, Coxeter group, Length, Poincar{\'e} series, Presentation",

author = "Francesco Brenti and Victor Reiner and Yuval Roichman",

note = "Funding Information: E-mail addresses: [email protected] (F. Brenti), [email protected] (V. Reiner), [email protected] (Y. Roichman). 1 Second author supported by NSF grant DMS-0245379. 2 Third author supported in part by the Israel Science Foundation grant No. 947/04.",

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AB - We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.

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KW - Length

KW - Poincaré series

KW - Presentation

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Alternating subgroups of Coxeter groups

Abstract

Bibliographical note

Funding

Keywords

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