Department of Mathematics
Indian Institute of Technology, Bombay
Powai, Mumbai 400076 India E-mail: email@example.com
Version 1.1, October 1994
These notes are aimed at providing a geodesic, yet complete,
presentation starting from the definition of field extensions and concluding
with the Fundamental Theorem of Galois Theory. Some additional material on
separable extensions and a section on Norms and Traces is also included,
and some historical comments appear as footnotes.
Originally, these notes were prepared to partly supplement the
lectures of the author on Galois Theory and Ramification Theory at the
All India Summer School in Number Theory held at Pune in June 1991.
Subsequently, the first 6 sections of the Pune Notes were separated and
slightly revised to form these ``Notes on Galois Theory'', which were
used for pre-conference distribution to the participants of the NBHM
sponsored Instructional School on Algebraic Number Theory (University
of Bombay, December 1994) at the request of the organisers.
A few minor revisions have taken place in the subsequent years.