Bourbaki

Corollary 1

Tag 05D3, permanent. Cite it as [Bourbaki, Tag 05D3].

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

The derived group of a group GG is a characteristic subgroup of GG. In particular it is a normal subgroup of GG.

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

Cited by

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Cites

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Transcribed from the printed edition, 1998, Springer. Not translated.