Logo

Galois Theory: Lectures Delivered at the University of Notre Dame

Large book cover: Galois Theory: Lectures Delivered at the University of Notre Dame

Galois Theory: Lectures Delivered at the University of Notre Dame
by

Publisher: University of Notre Dame
Number of pages: 96

Description:
The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

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.
(5382 views)
Book cover: Lectures On Galois Cohomology of Classical GroupsLectures On Galois Cohomology of Classical Groups
by - Tata Institute of Fundamental Research
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.
(5006 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.
(6218 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.
(6898 views)