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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeSep 18th 2018

made explicit that for a normal subgroup $N \subset G$ its “Weyl group” in the sense of $W_H G \coloneqq (N_G H)/H$ coincides with the plain quotient group $G/N$.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeSep 25th 2020
• (edited Sep 25th 2020)

In the section In equivariant homotopy theory I have added that the Weyl group is the automorphism group of the corresponding coset in the orbit category:

$End_{G Orbits} \big( G/H \big) \;\; = Aut_{G Orbits} \big( G/H \big) \;\; \simeq \;\; W_G(H) \,.$