Bourbaki

Corollary 1

Tag 058Q, permanent. Cite it as [Bourbaki, Tag 058Q].

Algebra, chapter I, § 4. Groups and groups with operators

Let G be a group with operators and X a subset of G which is stable under the action of Ω\Omega. The subgroup generated by X and the stable subgroup generated by X coincide.

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.