The Decomposition of Primes in Torsion Point Fields

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It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?eldinauniquewaytostructuresthatareexclusively described in terms of the base ?eld. Suitable structures are the prime ideals of the ring of integers of the considered number ?eld. By examining the behaviouroftheprimeidealswhenembeddedintheextension?eld, su?cient information should be collected to distinguish the given extension from all other possible extension ?elds. The ring of integers O of an algebraic number ?eld k is a ...

The Decomposition of Primes in Torsion Point Fields 2001, Springer, New York, NY

ISBN-13: 9783540420354

2001 edition

Trade paperback

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