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
Geometry of the Quinticby Jerry Shurman - Wiley-Interscience
The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem -- solving the quintic. This book helps students to develop connections between the algebra, geometry, and analysis ...
(8920 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.
(4254 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.
(9711 views)
Lectures On Galois Cohomology of Classical Groupsby 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.
(8309 views)