as a reflection group.

The corresponding Garside monoid $M_c$ is then generated by some set $R_c$ of braided reflections with relations of the form $r r' = r' r''$ (see [@BESSISKPI1] for more details). The above complexes for these monoids have been implemented by Jean Michel and the second author, using the (development version of) the CHEVIE package for GAP3. The chosen Coxeter element are indicated in Table \[coxeterdualmonoids\], in terms of the usual presentations of these groups (see [@BMR] for an explanations of the diagrams).

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$$\begin{array}{c||c|c|c|c|c}
\mbox{Group} & G_{24} & G_{27} & G_{29} & G_{33} & G_{34} \\
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