Band 83
Introduction to Cyclotomic Fields
Fr. 112.90
inkl. gesetzl. MwSt.Beschreibung
Details
Format
Kopierschutz
Nein
Family Sharing
Nein
Text-to-Speech
Ja
Erscheinungsdatum
06.12.2012
This book grew. out of lectures given at the University of Maryland in 1979/1980. The purpose was to give a treatment of p-adic L-functions and cyclotomic fields, including Iwasawa's theory of Zp-extensions, which was accessible to mathematicians of varying backgrounds. The reader is assumed to have had at least one semester of algebraic number theory (though one of my students took such a course concurrently). In particular, the following terms should be familiar: Dedekind domain, class number, discriminant, units, ramification, local field. Occasionally one needs the fact that ramification can be computed locally. However, one who has a good background in algebra should be able to survive by talking to the local algebraic number theorist. I have not assumed class field theory; the basic facts are summarized in an appendix. For most of the book, one only needs the fact that the Galois group of the maximal unramified abelian extension is isomorphic to the ideal class group, and variants of this statement. The chapters are intended to be read consecutively, but it should be possible to vary the order considerably. The first four chapters are basic. After that, the reader willing to believe occasional facts could probably read the remaining chapters randomly. For example, the reader might skip directly to Chapter 13 to learn about Zp-extensions. The last chapter, on the Kronecker-Weber theorem, can be read after Chapter 2.
Weitere Bände von Graduate Texts in Mathematics
-
Zur Artikeldetailseite von Riemann Surfaces des Autors Hershel M. Farkas
Band 71Hershel M. Farkas
Riemann SurfaceseBook
Fr. 88.90
-
Zur Artikeldetailseite von Classical Topology and Combinatorial Group Theory des Autors John Stillwell
Band 72John Stillwell
Classical Topology and Combinatorial Group TheoryeBook
Fr. 88.90
-
Zur Artikeldetailseite von Algebra des Autors Thomas W. Hungerford
Band 73Thomas W. Hungerford
AlgebraeBook
Fr. 79.90
-
Zur Artikeldetailseite von Multiplicative Number Theory des Autors H. Davenport
Band 74H. Davenport
Multiplicative Number TheoryeBook
Fr. 112.90
-
Zur Artikeldetailseite von Basic Theory of Algebraic Groups and Lie Algebras des Autors G. P. Hochschild
Band 75G. P. Hochschild
Basic Theory of Algebraic Groups and Lie AlgebraseBook
Fr. 93.90
-
Zur Artikeldetailseite von Lectures on the Theory of Algebraic Numbers des Autors E. T. Hecke
Band 77E. T. Hecke
Lectures on the Theory of Algebraic NumberseBook
Fr. 88.90
-
Zur Artikeldetailseite von A Course in the Theory of Groups des Autors Derek J. S. Robinson
Band 80Derek J. S. Robinson
A Course in the Theory of GroupseBook
Fr. 88.90
-
Zur Artikeldetailseite von Lectures on Riemann Surfaces des Autors Otto Forster
Band 81Otto Forster
Lectures on Riemann SurfaceseBook
Fr. 110.90
-
Zur Artikeldetailseite von Differential Forms in Algebraic Topology des Autors Raoul Bott
Band 82Raoul Bott
Differential Forms in Algebraic TopologyeBook
Fr. 75.90
-
Zur Artikeldetailseite von Introduction to Cyclotomic Fields des Autors Lawrence C. Washington
Band 83Lawrence C. Washington
Introduction to Cyclotomic FieldseBook
Fr. 112.90
-
Zur Artikeldetailseite von A Classical Introduction to Modern Number Theory des Autors Kenneth Ireland
Band 84Kenneth Ireland
A Classical Introduction to Modern Number TheoryeBook
Fr. 100.90
-
Zur Artikeldetailseite von Fourier Series des Autors R. E. Edwards
Band 85R. E. Edwards
Fourier SerieseBook
Fr. 100.90
Unsere Kundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Erste Bewertung verfassen