Arithmetical Similarities: Prime Decomposition And Finite Group Theory Norbert Klingen

ISBN: 9780198535980

Published: July 16th 1998

Hardcover

288 pages


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Arithmetical Similarities: Prime Decomposition And Finite Group Theory  by  Norbert Klingen

Arithmetical Similarities: Prime Decomposition And Finite Group Theory by Norbert Klingen
July 16th 1998 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 288 pages | ISBN: 9780198535980 | 4.73 Mb

Focusing on fruitful exchanges between group theory and number theory, this book examines recent work in the characterization of extensions of number fields in terms of the decomposition of prime ideals. A key problem in this area is establishing theMoreFocusing on fruitful exchanges between group theory and number theory, this book examines recent work in the characterization of extensions of number fields in terms of the decomposition of prime ideals.

A key problem in this area is establishing the equality of Dedekind zeta functions of different number fields. This problem was solved for abelian extensions by class field theory, but was little studied in its general form until 1970. Recent progress has been based on important results in group theory, particularly the complete classification of all finite simple groups. This book provides an overview of this progress in algebraic number theory- it contains previously unpublished work as well as numerous results appearing in monograph form the first time.



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