Remark 4

Tag 0AET, permanent. Cite it as [Bourbaki, Tag 0AET].

Lie Groups and Lie Algebras, chapter III, § 6. Real and complex Lie groups

If K = R, the integral subgroups of G can also be characterized as the subgroups which, with the topology induced by that on G, are arcwise connected (§ 8, Exercise 4). However, subgroups may be connected but not integral (Commutative Algebra, Chapter VI, § 9, Exercise 2).

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

Cited by

Nothing.

Cites

Commutative Algebra, Chapter VI, § 9, Exercise 2 not yet on this site: AC VI
§ 8, Exercise 4