Author: Luis Ribes
Publisher: Kingston, Ont., Queen's University
ISBN:
Category : Finite groups
Languages : en
Pages : 336

View

Book Description

Author: Luis Ribes
Publisher: Springer Science & Business Media
ISBN: 3662040972
Category : Mathematics
Languages : en
Pages : 441

View

Book Description
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.

Author: Luis Ribes
Publisher:
ISBN:
Category :
Languages : en
Pages : 316

View

Book Description

Author: Stephen S. Shatz
Publisher: Princeton University Press
ISBN: 1400881854
Category : Mathematics
Languages : en
Pages : 264

View

Book Description
In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.

Author: Jean-Pierre Serre
Publisher: Springer Science & Business Media
ISBN: 3642591418
Category : Mathematics
Languages : en
Pages : 215

View

Book Description
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.

Author: Graham J. Leuschke
Publisher:
ISBN:
Category :
Languages : en
Pages : 70

View

Book Description

Author: David Harari
Publisher: Springer Nature
ISBN: 3030439011
Category : Mathematics
Languages : en
Pages : 336

View

Book Description
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.

Author: Grégory Berhuy
Publisher: Cambridge University Press
ISBN: 1139490885
Category : Mathematics
Languages : en
Pages : 328

View

Book Description
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.

Author: Tamás Szamuely
Publisher: Cambridge University Press
ISBN: 0521888506
Category : Mathematics
Languages : en
Pages : 281

View

Book Description
Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.

Author: Luis Ribes
Publisher:
ISBN:
Category : Galois theory
Languages : en
Pages : 332

View

Book Description