Corollary 2

Tag 00O4, permanent. Cite it as [Bourbaki, Tag 00O4].

Algebra, VIII, p. 420, § 21. Linear Representations of Finite Groups

The dimension of each simple representation of $G$ divides the order of $G$ .

This follows from Proposition 10 and Proposition 9 of VIII, p. 415.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Exercise 10, § 21
Remark, § 21

Cites

Proposition 10
Proposition 9 of VIII, p. 415