Introduction To Profinite Groups And Galois Cohomology
DOWNLOAD
FREE 30 Days
Download Introduction To Profinite Groups And Galois Cohomology PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Introduction To Profinite Groups And Galois Cohomology book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Introduction To Profinite Groups And Galois Cohomology
DOWNLOAD
FREE 30 Days
Author : Luis Ribes
language : en
Publisher: Kingston, Ont., Queen's University
Release Date : 1970
Introduction To Profinite Groups And Galois Cohomology written by Luis Ribes and has been published by Kingston, Ont., Queen's University this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Finite groups categories.
Introduction Of Profinite Groups And Galois Cohomology
DOWNLOAD
FREE 30 Days
Author : Luis Ribes
language : en
Publisher:
Release Date : 1970
Introduction Of Profinite Groups And Galois Cohomology written by Luis Ribes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Profinite Groups
DOWNLOAD
FREE 30 Days
Author : Luis Ribes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Profinite Groups written by Luis Ribes 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 2013-04-09 with Mathematics categories.
This self-contained book serves both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. It contains complete and clear proofs for most results, many of which appear here in book form for the first time. Suitable as a basis for courses.
Algebraic Patching
DOWNLOAD
FREE 30 Days
Author : Moshe Jarden
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-03
Algebraic Patching written by Moshe Jarden 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 2011-01-03 with Mathematics categories.
Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Among others, it leads to the solution of two central results in "Field Arithmetic": (a) The absolute Galois group of a countable Hilbertian pac field is free on countably many generators; (b) The absolute Galois group of a function field of one variable over an algebraically closed field $C$ is free of rank equal to the cardinality of $C$.
Galois Cohomology And Class Field Theory
DOWNLOAD
FREE 30 Days
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.
An Introduction To Galois Cohomology And Its Applications
DOWNLOAD
FREE 30 Days
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.
Central Simple Algebras And Galois Cohomology
DOWNLOAD
FREE 30 Days
Author : Philippe Gille
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-10
Central Simple Algebras And Galois Cohomology written by Philippe Gille 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 2017-08-10 with Mathematics categories.
The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev–Suslin theorem, a culmination of work initiated by Brauer, Noether, Hasse and Albert, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, the text covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi–Brauer varieties, and techniques in Milnor K-theory and K-cohomology, leading to a full proof of the Merkurjev–Suslin theorem and its application to the characterization of reduced norms. The final chapter rounds off the theory by presenting the results in positive characteristic, including the theorems of Bloch–Gabber–Kato and Izhboldin. This second edition has been carefully revised and updated, and contains important additional topics.
Central Simple Algebras And Galois Cohomology
DOWNLOAD
FREE 30 Days
Author : Philippe Gille
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-10
Central Simple Algebras And Galois Cohomology written by Philippe Gille 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 2017-08-10 with Mathematics categories.
The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.
Lectures On Profinite Topics In Group Theory
DOWNLOAD
FREE 30 Days
Author : Benjamin Klopsch
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-10
Lectures On Profinite Topics In Group Theory written by Benjamin Klopsch 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 2011-02-10 with Mathematics categories.
In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
Profinite Groups
DOWNLOAD
FREE 30 Days
Author : John S. Wilson
language : en
Publisher: Clarendon Press
Release Date : 1998-10-01
Profinite Groups written by John S. Wilson and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-01 with Mathematics categories.
This is the first book to be dedicated entirely to profinite groups, an area of algebra with important links to number theory and other areas of mathematics. It provides a comprehensive overview of the subject; prerequisite knowledge is kept to a minimum, and several major theorems are presented in an accessible form. The book would provide a valuable introduction for postgraduate students, or form a useful reference for researchers in other areas. The first few chapters lay the foundations and explain the role of profinite groups in number theory. Later chapters explore various aspects of profinite groups in more detail; these contain accessible and lucid accounts of many major theorems. Prerequisites are kept to a minimum with the basic topological theory summarized in an introductory chapter.