Notes on Galois Theory
by Mark Reeder
Publisher: Boston College 2012
Number of pages: 66
Description:
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.
Download or read it online for free here:
Download link
(520KB, PDF)
Similar books
![Book cover: Galois Theory: Lectures Delivered at the University of Notre Dame](images/11582.jpg)
by Emil Artin - University of Notre Dame
The book deals with linear algebra, including fields, vector spaces, homogeneous linear equations, and determinants, extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, and more.
(5923 views)
![Book cover: Fields and Galois Theory](images/4231.jpg)
by J. S. Milne
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.
(12325 views)
![Book cover: Algebraic Equations](images/7257.jpg)
by George Ballard Mathews - 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.
(10531 views)
![Book cover: Lectures On Galois Cohomology of Classical Groups](images/7304.jpg)
by M. Kneser - 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.
(9874 views)