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Explicit presentations for exceptional braid groups

David Bessis·Jean Michel
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Abstract

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. These presentations were obtained with VKCURVE, a GAP package implementing Van Kampen's method.

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David Bessis, Jean Michel. 2003-12-09. Explicit presentations for exceptional braid groups. https://arxiv.org/abs/math/0312191

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