Class field theory [Documento eletrónico] / Nancy Childress
Language: eng.Country: US - United States of America.Publication: New York : Springer , 2009Description: X, 226 p.ISBN: 978-0-387-72490-4.Series: UniversitextSubject - Topical Name: 9610Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA247.SPR FCT 80828 (Browse shelf(Opens below)) | 1 | Available |
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QA247.SPR FCT Lectures in algebraic combinatorics, young's construction, seminormal representations, SL(2) representations, heaps, basics on finite fields | QA247.SPR FCT Topics in Galois fields | QA247.SPR FCT Learning with fractional orthogonal kernel classifiers in support vector machines, theory, algorithms and applications | QA247.SPR FCT 80828 Class field theory | QA247.SPR FCT 80938 Extensions of rings and modules | QA247.SPR FCT 81083 Graded syzygies | QA247.SPR FCT 81155 Lattice-ordered rings and modules |
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Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Chebotarev density theorem) apply even to nonabelian extensions. This book is an accessible introduction to class field theory. It takes a traditional approach in that it presents the global material first, using some of the original techniques of proof, but in a fashion that is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included exercises throughout the text. Professor Nancy Childress is a member of the Mathematics Faculty at Arizona State University.
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