Masamitsu Shimakura
Abstract
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We describe the ramification in cyclic extensions arising from the Kummer theory of the Weil restriction of the multiplicative group. This generalises the classical theory of Hecke describing the ramification of Kummer extensions.
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We describe the ramification in cyclic extensions arising from the Kummer theory of the Weil restriction of the multiplicative group. This generalises the classical theory of Hecke describing the ramification of Kummer extensions.
Key concepts: Ramification, Mathematics, Multiplicative function, Pure mathematics, Torus, Algebraic number, Algebra over a field, Mathematical analysis