On complex reflection groups and their associated braid groups.
Michel Brou\'e, Gunter Malle and Rapha\"el Rouquier
November 1994.

Abstract. Presentations "\`a la Coxeter" are given for all (irreducible)
finite complex reflection groups. They provide presentations for the
corresponding generalized braid groups (still conjectural in some cases)
which allow us to generalize some of the known properties of finite 
Coxeter groups (center of the braid group, construction of Hecke algebras).

1991 Math Subj Class: Primary 20, 20G
This is a summary of work in progress. The final version of this paper
will be submitted for publication elsewhere. We thank Jean Michel for 
useful conversations and for his help in preparing this manuscript.