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

The paper is available in the following forms:

TeX dvi format:: cent-ref-cox.dvi.gz (14kB) or cent-ref-cox.dvi (33kB)
PostScript:: cent-ref-cox.ps.gz (37kB) or cent-ref-cox.ps (125kB)

To minimize network load, please choose the smaller gzipped .gz form if and only if your browser client supports it.

Sydney Mathematics and Statistics