Bourbaki

Remark

Tag 02MF, permanent. Cite it as [Bourbaki, Tag 02MF].

Théories spectrales, chapter II, § 2. Classification

By duality, G^\widehat{G} is isomorphic to Rp×Tq×D\mathbf{R}^p\times \mathbf{T}^q\times D (prop. 3 (iv)) where the subgroups Rp×Tq\mathbf{R}^p\times \mathbf{T}^q and Tq\mathbf{T}^q, and the integers pp and qq, are determined in a unique manner.

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-mini, gpt-5.4, against glossary version 34. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.