This course is a continuation of the course TMA4150 Algebra. The main topic is field extensions: basic properties, the connections with group theory, Galois groups. Some applications will be discussed, for example the insolvability of general 5th degree equations by radicals.

You should be familiar with basic notions of algebra (such as definitions of groups, rings, fields etc.). A full course on Ring theory is not required since we will cover the necessary material during the course.

Manuel Hauke
Office: 8th floor, Sentralbygg 2
Email: manuel (dot) hauke (at) ntnu (dot) no

P.B. Bhattacharya, S.K. Jain, S.R. Nagpaul
Basic Abstract Algebra
2nd edition
Cambridge University Press
ISBN: 0-521-46629-6

Here is a list of comments and corrections about some statements in the book. Let me know if you find anything more that could be added to the list.