**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

**Algebraic Equations**

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.

(

**10493**views)

**Lectures on the Algebraic Theory of Fields**

by

**K.G. Ramanathan**-

**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.

(

**10908**views)

**The Elements of the Theory of Algebraic Numbers**

by

**Legh Wilber Reid**-

**The Macmillan company**

It has been my endeavor in this book to lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation of some of the fundamental conceptions in the general theory of algebraic numbers. Many numerical examples are given.

(

**9803**views)

**Notes on Galois Theory**

by

**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.

(

**9232**views)