Titlebook: Galois Theory of p-Extensions; Helmut Koch Book 2002 Springer-Verlag Berlin Heidelberg 2002 Cohomology.Prime.algebra.chomology of groups.c

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Introduction,Once the framework of Galois theory has been completed with the main theorem, the principal problem of the theory is the question: what are the possible normal extensions of a fixed base field . with given Galois group .. This problem is called the ..

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crescendo

Galois Theory of Infinite Algebraic Extensions,A Galois theory of a category R is a contravariant functor of R into a “simpler” category R′, where certain properties of the objects and morphisms of R are reflected in R′.

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angina-pectoris

字形刻痕

stress-test

Results from Algebraic Number Theory,In this chapter we formulate the theorems from class field theory for finite extensions that we shall need in the following, and we will transfer them to infinite extension as far as is necessary.

dowagers-hump

The Maximal ,-Extension,The maximal .-extension . of a field . is the compositum (inside a fixed algebraic closure of .) of all finite .-extensions of ., i.e., of all normal (separable) extensions of . with .-power degree.

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Local Fields of Finite Type,In this chapter we study the maximal .-extension more closely in the case where . is a local field of finite type. Let T denote the prime ideal of . and χ(T) the characteristic of the residue class field of ..

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