# Miscellaneous facts about Coxeter groups

## Author

**Robert B. Howlett**

## Status

Lectures given at the ANU Group Actions Workshop, October 1993;

Research Report 93-38

## Abstract

These six lectures were given at the Group Actions Workshop at The
Australian National University in June 1993. The intention was to give
an introduction to Coxeter groups that would be accessible to research
students. The classification of finite Coxeter groups is given (without
proof), the faithfulness of the geometric representation of a Coxeter
group is proved, Tit's Theorem that every finite subgroup of a Coxeter
group is conjugate to a subgroup of a finite parabolic subgroup is
proved, and the Brink-Howlett Theorem that Coxeter groups are automatic
is discussed.

## Content

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Sydney Mathematics and Statistics