Miscellaneous facts about Coxeter groups


Robert B. Howlett


Lectures given at the ANU Group Actions Workshop, October 1993;
Research Report 93-38


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.


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Sydney Mathematics and Statistics