On centralizers of parabolic subgroups in Coxeter groups

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

Let W be an arbitrary Coxeter group, possibly of infinite rank. We describe a decomposition of the centralizer ZW(WI) of an arbitrary parabolic subgroup WI into the center of WI, a Coxeter group and a subgroup defined by a 2-cell complex. Only information about finite parabolic subgroups is required in an explicit computation. By using our description of ZW(WI), we will be able to reveal a further strong property of the action of the third factor on the second factor, in particular on the finite irreducible components of the second factor.

本文言語英語
ページ(範囲)891-930
ページ数40
ジャーナルJournal of Group Theory
14
6
DOI
出版ステータス出版済み - 11 2011
外部発表はい

All Science Journal Classification (ASJC) codes

  • 代数と数論

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