Alternating subgroups of Coxeter groups

Francesco Brenti, Victor Reiner, Yuval Roichman

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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

Original languageEnglish (US)
Pages (from-to)845-877
Number of pages33
JournalJournal of Combinatorial Theory. Series A
Issue number5
StatePublished - Jul 2008

Bibliographical note

Funding Information:
E-mail addresses: (F. Brenti), (V. Reiner), (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.


  • Alternating group
  • Coxeter group
  • Length
  • Poincaré series
  • Presentation


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