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Let G be a finite group of exponent m and let k be a field of characteristic prime to m, containing the m-th roots of unity.
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J.-L. Colliot-Thélène, J.-J. Sansuc, The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group)
2007
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N. Bourbaki, Algèbre commutative, Chapitres 5 à 7, Hermann
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S. Lang, Algebraic Number Theory, Graduate Texts in Mathematics, Vol. 110
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B. Kahn, Nguyen T. K. Ngan Sur l’espace classifiant d’un groupe algébrique linéaire, I
2014
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