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

School of Mathematics

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

9 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 (US)
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: brenti@mat.uniroma2.it (F. Brenti), reiner@math.umn.edu (V. Reiner), yuvalr@math.biu.ac.il (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.

Keywords

Alternating group
Coxeter group
Length
Poincaré series
Presentation

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10.1016/j.jcta.2007.10.004

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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: brenti@mat.uniroma2.it (F. Brenti), reiner@math.umn.edu (V. Reiner), yuvalr@math.biu.ac.il (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.",

year = "2008",

month = jul,

doi = "10.1016/j.jcta.2007.10.004",

language = "English (US)",

volume = "115",

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journal = "Journal of Combinatorial Theory - Series A",

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AU - Brenti, Francesco

AU - Reiner, Victor

AU - Roichman, Yuval

N1 - Funding Information: E-mail addresses: brenti@mat.uniroma2.it (F. Brenti), reiner@math.umn.edu (V. Reiner), yuvalr@math.biu.ac.il (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.

PY - 2008/7

Y1 - 2008/7

N2 - We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.

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

KW - Alternating group

KW - Coxeter group

KW - Length

KW - Poincaré series

KW - Presentation

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DO - 10.1016/j.jcta.2007.10.004

M3 - Article

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EP - 877

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

SN - 0097-3165

IS - 5

ER -

Alternating subgroups of Coxeter groups

Abstract

Bibliographical note

Keywords

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