Logo

Lectures On Galois Cohomology of Classical Groups

Small book cover: Lectures On Galois Cohomology of Classical Groups

Lectures On Galois Cohomology of Classical Groups
by

Publisher: Tata Institute of Fundamental Research
Number of pages: 212

Description:
The main result is the Hasse principle for the one-dimensional Galois cohomology of simply connected classical groups over number fields. For most groups, this result is closely related to other types of Hasse principle. Some of these are well known, in particular those for quadratic forms.

Download or read it online for free here:
Download link
(690KB, PDF)

Similar books

Book cover: Galois TheoryGalois Theory
by - University of Warwick
The author discusses the problem of solutions of polynomial equations both in explicit terms and in terms of abstract algebraic structures. The course demonstrates the tools of abstract algebra as applied to a meaningful problem.
(15794 views)
Book cover: Notes on Galois TheoryNotes on Galois Theory
by - Boston College
From the table of contents: Basic ring theory, polynomial rings; Finite fields; Extensions of rings and fields; Computing Galois groups of polynomials; Galois groups and prime ideals; Cyclotomic extensions and abelian numbers.
(8983 views)
Book cover: Generic Polynomials: Constructive Aspects of the Inverse Galois ProblemGeneric Polynomials: Constructive Aspects of the Inverse Galois Problem
by - Cambridge University Press
A clearly written book, which uses exclusively algebraic language (and no cohomology), and which will be useful for every algebraist or number theorist. It is easily accessible and suitable also for first-year graduate students.
(15318 views)
Book cover: The Elements of the Theory of Algebraic NumbersThe Elements of the Theory of Algebraic Numbers
by - The Macmillan company
It has been my endeavor in this book to lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation of some of the fundamental conceptions in the general theory of algebraic numbers. Many numerical examples are given.
(9607 views)