On Centralizers of Reflections in Coxeter Groups

Author

Brigitte Brink

Status

Research Report 95-2
Date: 6 February 1995

Abstract

We show that the centralizer of a reflection in a Coxeter group is the semidirect product of a Coxeter group by a free group.

Key phrases

centralizer. Coxeter group. reflection.

AMS Subject Classification (1991)

Primary: 20F55

Content

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Sydney Mathematics and Statistics