Bourbaki

Remark

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

Théories spectrales, chapter II, § 1. Transformation de Fourier

There exist commutative locally compact groups G which are not divisible and such that G^\widehat{G} is torsion-free (Exercise 63 of II, p. 299).

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.

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Cites

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Machine translation of the English, by gpt-5.4, gpt-5-6-mini, 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.