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Explicit Presentations for Exceptional Braid Groups

Explicit Presentations for Exceptional Braid Groups

We give presentations for the braid groups associated with the complex reflection groups G 24 and G 27. For the cases of G 29, G 31, G 33, and G 34, we give (strongly supported) conjectures. Thesepresentations were obtained with VKCURVE, a GAP package implementing Van Kampen's method.