Intrinsic reflections and strongly rigid Coxeter groups:

Robert B. Howlett, Bernhard Mühlherr, Koji Nuida

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

It is possible for a group W that is abstractly isomorphic to a Coxeter group to have more than one conjugacy class of Coxeter generating sets, and if S and R are two non-conjugate Coxeter generating sets then it may or may not be the case that some element sϵS is conjugate to an element rϵR. In this paper we classify the so-called intrinsic reflections: those elements of W whose conjugacy class intersects non-trivially every Coxeter generating set. In combination with previously known results, this leads us to a classification of Coxeter groups for which all Coxeter generating sets are conjugate.

本文言語英語
ページ(範囲)534-574
ページ数41
ジャーナルProceedings of the London Mathematical Society
116
3
DOI
出版ステータス出版済み - 3 2018
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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