Almost central involutions in split extensions of Coxeter groups by graph automorphisms

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

Given a split extension W ⋊ G, where W is an arbitrary Coxeter group and G a group of automorphisms of the Coxeter graph of W, we determine all involutions in W ⋊ G whose centralizers are of finite index. Our result has applications to many problems such as the isomorphism problem for general Coxeter groups. In the course of the proof, some properties of certain special elements and of fixed-point subgroups of graph automorphisms in Coxeter groups which are of independent interest are given.

本文言語英語
ページ(範囲)139-166
ページ数28
ジャーナルJournal of Group Theory
10
2
DOI
出版ステータス出版済み - 3 20 2007
外部発表はい

All Science Journal Classification (ASJC) codes

  • 代数と数論

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