Mathematics: Galois Theory

Education facts

Code: MATM41

<p>The course aims to provide a deeper understanding of field extensions, and a connection between the theory of polynomial equations and group theory.</p><p>The course treats:</p> <ul> <li>Field extensions: splitting fields, normal extensions and separable extensions, field automorphisms, normal closures.</li> <li>Galois groups: Galois extensions, the Galois Correspondence, the Fundamental Theorem of Galois Theory.</li> <li>Polynomial equations: solvability by radicals, insolvable quintics, symmetric polynomials, cyclotomic extension.</li> </ul>

Entry requirements

For admission to the course, English 6/B is required as well as at least 90 credits in pure mathematics including the course MATM31 Algebraic Structures, 7.5 credits or equivalent. The course MATP33 Group and Ring Theory, 7.5 credits is recommended but it is not required.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Mathematics: Galois Theory

  Lund University

  Start date: 2 November 2026

  End date: 17 January 2027

  Pace of study: 50 %