Bourbaki

Remark 1

Tag 01TJ, permanent. Cite it as [Bourbaki, Tag 01TJ].

Topologie algébrique, chapter II, § 3. Groupoïdes

The mapping Som(pp) defines, by passing to quotients, a bijection of the set of orbits of G onto the set of orbits of G/HG/H. In particular, G is transitive if and only if G/HG/H is.

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

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Cites

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Machine translation of the English, by gpt-5.4, against glossary version 34. Not checked by a person.