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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

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  • Karen Vogtmann, Chair | University of Warwick
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  • Mary Pugh | University of Toronto

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Andrew Baker
University of Glasgow
MR ID: 16505
Reference #
OMN:202003.110819

Attributes

Posted date
2020-03-11 13:33:25
Revised date
2022-07-14 17:46:12
Level
   Undergraduate
Notes type
   Standard Course Offering
Topic
   Algebra
      Commutative Algebra
      Group Theory
   Number Theory
      Algebraic Number Theory

An Introduction to Galois Theory

In this course the focus is on the following topics:
• The solution of polynomial equations over a field, including relationships between roots, methods of solutions and location of roots.
• The structure of finite and algebraic extensions of fields and their automorphisms.
We will study these in detail, building up a theory of algebraic extensions of fields and their automorphism groups and applying it to solve problems about roots of polynomial equations.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v2 PDF (824K) 07/15/22