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: 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.
(5157 views)
Book cover: Lectures on the Algebraic Theory of FieldsLectures on the Algebraic Theory of Fields
by - Tata Institute of Fundamental Research
These lecture notes on Field theory are aimed at providing the beginner with an introduction to algebraic extensions, algebraic function fields, formally real fields and valuated fields. We assume a familiarity with group theory and vector spaces.
(7287 views)
Book cover: Fields and Galois TheoryFields and Galois Theory
by
A concise treatment of Galois theory and the theory of fields, including transcendence degrees and infinite Galois extensions. Contents: Basic definitions and results; Splitting fields; The fundamental theorem of Galois theory; etc.
(8060 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.
(11399 views)