[GAP Forum] Canonical form for some small groups and efficient characterisation of the generalized symmetric groups

[Nicolas M. Thiery]

On Mon, Dec 18, 2017 at 01:57:04PM +0100, Martin Rubey wrote:
> I admit I am not completely sure right now: can we associate a conjugacy
> class of subgroups of S_n, isomorphic to the Weyl group, in a sensible
> way to a finite Cartan type?

The permutation action on the roots would be a rather natural choice.
This could be extended to affine Weyl groups using affine
permutations.

Cheers,
		Nicolas
--
Nicolas M. Thiéry "Isil" <nthiery at users.sf.net>
http://Nicolas.Thiery.name/