
Lectures on Field Theory and Ramification Theory
by Sudhir R. Ghorpade
Publisher: Indian Institute of Technology, Bombay 2008
Number of pages: 36
Description:
These are the notes of a series of five lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.
Download or read it online for free here:
Download link
(360KB, PDF)
Similar books
Notes on Galois Theoryby Mark Reeder - 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.
(11131 views)
Galois Theoryby Miles Reid - 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.
(18385 views)
Class Field Theoryby J. S. Milne
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.
(13741 views)
Galois Theory: Lectures Delivered at the University of Notre Dameby 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.
(7914 views)