Mathematics: Group- and Ring Theory

Utbildningsfakta

Kod: 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>

Behörighet

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.

Utbildningstillfällen

Varje tillfälle har egna datum och villkor. Avslutade tillfällen behålls som historik och innebär inte att en ny ansökan är öppen.

• Mathematics: Group- and Ring Theory

  Lund University

  Startdatum: 31 augusti 2026

  Slutdatum: 1 november 2026

  Studietakt: 50 %