Preprint KUMMER THEORIES FOR ALGEBRAIC TORI AND NORMAL BASIS PROBLEM

諏訪 紀幸

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We discuss the sculpture and embedding problems concerning Kummer theories for algebraic tori. This article is a sequel of the previous works [10] and [11], where we treated the Kummer, Artin-Schreier, Kummer-Artin-Schreier and Artin-Schreier-Witt theories. The unit group scheme of a group algebra plays an important role, as was pointed out by Serre in ⟨Groupes alg ebriques et corps de classes⟩.
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