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Reflection groups and Coxeter groups

Dr. Pavel TUMARKIN

Abstract:

This lecture is an addendum to the course ``Hyperbolic reflection groups''. We will discuss the relation between refelction groups and Coxeter groups. We will look at the combinatorial properties of Coxeter groups and see that any reflection group is a Coxeter group, and that any Coxeter group acts by reflections on some space with good properties.