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) |
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Pages (from-to) | 845-877 |
Number of pages | 33 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 115 |
Issue number | 5 |
DOIs | |
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