Titlebook: Algebraic Number Theory; H. Koch Book 1997 Springer-Verlag Berlin Heidelberg 1997 Algebraische Zahlentheorie.Galois Kohomologie.Klassenkör

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Arresting

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Class Field Theory,There are two main problems in the theory of algebraic number fields: On the one hand the description of the arithmetical properties of a given number field and on the other hand the description of number fields with given arithmetical properties.

amputation

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Abelian Fields,The finite abelian extensions of . are called (absolute) .. So far they appeared as examples for more general theorems. In this chapter we consider further problems about number fields mostly restricted to abelian fields because the theory is much more complete in this restriction as in a more general setting.

Felicitous

Jörg Polakiewicz,Julia Katharina Kirchmayrmbers to algebraic numbers. Gauss considered the ring . of all numbers of the form . with . and showed that . is a ring with unique factorization in prime elements (see §2.1). He introduced these numbers for the development of his theory of biquadratic residues. Another motivation for the study of t

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https://doi.org/10.1007/978-3-642-58095-6Algebraische Zahlentheorie; Galois Kohomologie; Klassenkörpertheorie; algebra; algebraic number theory; c

indigenous

978-3-540-63003-6Springer-Verlag Berlin Heidelberg 1997