Dear Max, >>> The permutation action on the roots would be a rather natural choice.
> Regarding Nicolas' suggestion: While it is a "natural" choice, it is not > necessarily a "canonical" choice. At the very least, you'd have to define > how to label the roots "canonically". let me ask: are you saying that that there are both "bad" but also "canonical labellings" of the roots? (let's consider only finite type) Or put differently: do you have an example at hand where different labellings of the roots yield non-conjugate permutation groups? Martin _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum