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On the linearity of Artin braid groups. (English) Zbl 1066.20044
The author proves that all Artin groups of crystallographic type have a faithful representation of dimension the number of reflections of the associated Coxeter group. The faithfulness criterion which is used is that of D. Krammer [Ann. Math. (2) 155, No. 1, 131-156 (2002; Zbl 1020.20025)].

MSC:
20F36 Braid groups; Artin groups
57M07 Topological methods in group theory
20C15 Ordinary representations and characters
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