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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(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
Download citation
DOI: https://doi.org/10.1007/3-540-44949-3_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42035-4
Online ISBN: 978-3-540-44949-2
eBook Packages: Springer Book Archive