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Search results with tag "Galois extension"

The Trace and Norm for a Galois extension - UCONN

The Trace and Norm for a Galois extension - UCONN

www.math.uconn.edu

The Trace and Norm for a Galois extension Let L=Kbe a nite Galois extension, with Galois group G= Gal(L=K). We can express characteristic polynomials, traces, and norms for the extension L=Kin terms of G. Theorem 1.1. When L=Kis a nite Galois extension with Galois group Gand 2L, ... From Galois theory,

  Theory, Extension, Galois theory, Galois, Galois extension

Algebraic Number Theory - James Milne

Algebraic Number Theory - James Milne

www.jmilne.org

An abelian extension of a field is a Galois extension of the field with abelian Galois group. Class field theory describes the abelian extensions of a number field in terms of the arithmetic of the field. These notes are concerned with algebraic number theory, and the sequel with class field theory. BibTeX information @misc{milneANT ...

  Theory, Extension, Galois, Galois extension

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