Galois Cohomology Of Algebraic Number Fields
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Galois Cohomology Of Algebraic Number Fields
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Author : Klaus Haberland
language : en
Publisher:
Release Date : 1978
Galois Cohomology Of Algebraic Number Fields written by Klaus Haberland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Algebraic fields categories.
Cohomology Of Number Fields
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Author : Jürgen Neukirch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-26
Cohomology Of Number Fields written by Jürgen Neukirch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.
Galois Cohomology Of Algebraic Number Fields
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Author : Klaus Haberland
language : en
Publisher:
Release Date : 1978
Galois Cohomology Of Algebraic Number Fields written by Klaus Haberland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Galois Cohomology And Class Field Theory
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Author : David Harari
language : en
Publisher: Springer Nature
Release Date : 2020-06-24
Galois Cohomology And Class Field Theory written by David Harari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-24 with Mathematics categories.
This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory. Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet L-series, including the Čebotarev density theorem. Based on several advanced courses given by the author, this textbook has been written for graduate students. Including complete proofs and numerous exercises, the book will also appeal to more experienced mathematicians, either as a text to learn the subject or as a reference.
A Gentle Course In Local Class Field Theory
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Author : Pierre Guillot
language : en
Publisher: Cambridge University Press
Release Date : 2018-11
A Gentle Course In Local Class Field Theory written by Pierre Guillot and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11 with Mathematics categories.
A self-contained exposition of local class field theory for students in advanced algebra.
Galois Cohomology
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Author : Jean-Pierre Serre
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Galois Cohomology written by Jean-Pierre Serre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.
An Introduction To Galois Cohomology And Its Applications
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Author : Grégory Berhuy
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-09
An Introduction To Galois Cohomology And Its Applications written by Grégory Berhuy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Mathematics categories.
This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
The Genus Fields Of Algebraic Number Fields
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Author : M. Ishida
language : en
Publisher: Springer
Release Date : 2006-12-08
The Genus Fields Of Algebraic Number Fields written by M. Ishida and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
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A Gentle Course In Local Class Field Theory
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Author : Pierre Guillot
language : en
Publisher: Cambridge University Press
Release Date : 2018-11-01
A Gentle Course In Local Class Field Theory written by Pierre Guillot and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Mathematics categories.
This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker–Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.
Galois Theory Of P Extensions
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Author : Helmut Koch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Galois Theory Of P Extensions written by Helmut Koch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.