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Abstract Class Field Theory

1999
Every field k is equipped with a distinguished Galois extension: the separable closure \(\bar k|k\). Its Galois group \({G_k} = G(\bar k|k)\) is called the absolute Galois group of k. As a rule, this extension will have infinite degree. It does, however, have the advantage of collecting all finite Galois extensions of k. This is why it is reasonable to
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Global Class Field Theory

1986
The role held in local class field theory by the multiplicative group of the base field is taken in global class field theory by the idele class group. The notion of idele is a modification of the notion of ideal. It was introduced by the French mathematician Claude Chevalley (1909–1984) with a view to providing a suitable basis for the important local-
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Radiotheranostics in oncology: Making precision medicine possible

Ca-A Cancer Journal for Clinicians, 2023
Eric Aboagye
exaly  

Local class field theory. I

1985
L'article est la première partie d'une ouvrage qui a comme but un exposé detailé du mémoire de \textit{M. Hazewinkel}: ''Local class field theory is easy'', Adv. Math. 18, 148--181 (1975; Zbl 0312.12022).
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Genetic testing in prostate cancer management: Considerations informing primary care

Ca-A Cancer Journal for Clinicians, 2022
Veda N Giri   +2 more
exaly  

Local class field theory

1984
By a local field in commutative algebra we mean usually a field of fractions of a complete discrete valuation ring. This notion has many applications in arithmetics and algebraic geometry. In the papers [Usp. Mat. Nauk 30, No. 1 (181), 253--254 (1975; Zbl 0302.14005); Izv. Akad. Nauk SSSR, Ser. Mat.
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