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Introduction

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1761)

Abstract

It is an historical goal of algebraic number theory to relate all algebraic extensions of a number field in a unique way to structures that are exclusively described in terms of the base field. Suitable structures are the prime ideals of the ring of integers of the considered number field. By examining the behaviour of the prime ideals when embedded in the extension field, sufficient information should be collected to distinguish the given extension from all other possible extension fields.

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Introduction. In: Adelmann, C. (eds) The Decomposition of Primes in Torsion Point Fields. Lecture Notes in Mathematics, vol 1761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44949-3_1

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  • DOI: https://doi.org/10.1007/3-540-44949-3_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42035-4

  • Online ISBN: 978-3-540-44949-2

  • eBook Packages: Springer Book Archive