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: Class Field TheoryClass Field Theory
by
Class field theory describes the abelian extensions of a local or global field in terms of the arithmetic of the field itself. These notes contain an exposition of abelian class field theory using the algebraic/cohomological approach.
(11154 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.
(11996 views)
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.
(15715 views)
Book cover: Algebraic EquationsAlgebraic Equations
by - Cambridge University Press
This book is intended to give an account of the theory of equations according to the ideas of Galois. This method analyzes, so far as exact algebraical processes permit, the set of roots possessed by any given numerical equation.
(10200 views)