Mathematics: Group- and Ring Theory

Education facts

Code: MATP33

<p>The course is an alternatively compulsory course within the Master's programme in mathematics. The course aims to provide, in comparison with the course Algebraic structures, a deeper understanding of group theory and ring theory as a basis for further studies in algebraic subject areas.</p><p>The course treats:</p> <ul> <li>Groups: Permutation groups. Burnside's lemma with application to Pólya arithmetic. Sylow's theorems. Symmetric and alternating groups. The structure of finitely generated Abelian groups.</li> <li>Rings: Noetherian and Artinian rings and modules. Artin-Wedderburn's theorem. Finitely generated modules over a principal ideal domain with application to the Jordan's normal form of matrices.</li> <li>Linear algebra: Multilinear mappings. Tensor products.</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 MATC31 Algebraic structures, 7.5 credits or equivalent.

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: Group- and Ring Theory

  Lund University

  Start date: 31 August 2026

  End date: 1 November 2026

  Pace of study: 50 %