Bourbaki

Proposition 20

Tag 05A4, permanent. Cite it as [Bourbaki, Tag 05A4].

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

An integer p>0p > 0 is prime if and only if the group Z/pZ\mathbf{Z}/p\mathbf{Z} is a simple group.

This follows from Proposition 19.

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

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Cites

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