Example

Tag 05EB, permanent. Cite it as [Bourbaki, Tag 05EB].

Algebra, chapter I, § 6. Extensions, solvable groups, nilpotent groups

The group $\mathfrak{S}_3$ is of order 6. It contains a normal Sylow 3-subgroup of order 3: the group $A_3$ . It contains three Sylow 2-subgroups of order 2: the groups $\{e, \tau\}$ , where $\tau$ is a transposition. The group $\mathfrak{S}_3$ is thus not nilpotent.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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