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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Dmitrii Krekov
Explicit Formula for Abelian Extensions in the Theory of Fields of Norms
Mathematics
(Bachelor’s programme)
10
2018
In this work we present some results on the connection between local class field theory and the theory of fields of norms of Fontaine and Wintenberger. We use Lubin——Tate theory to establish this connection and then we apply Artin——Schreier——Witt theory to find an explicit relation between abelian extensions of an arithmetically profinite extension of local fields and its field of norms.

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