Bourbaki

Remark

Tag 05A6, permanent. Cite it as [Bourbaki, Tag 05A6].

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

A finite group G of prime order is necessarily cyclic. G admits no subgroup other than G and {e}\{e\} and hence it is generated by every element ≠e\neq e.

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

Cited by

Nothing.

Cites

Nothing.

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