Mathematics III - Abstract algebra

Education facts

Code: MM5020

The course covers: Group theory: sub groups, cosets, Lagrange's theorem, homomorphisms, normal subgroups and quotient groups, permutation groups, simple groups. Rings and fields: matrix rings, quaternions, ideals and homomorphisms, quotient rings, polynomial rings, principal ideal rings, Euclidean rings and unique factorization. Fields and vector spaces: finite-dimensional vector spaces, algebraic field extensions, finite fields.

Entry requirements

Admission to the course requires knowledge equivalent to 60 credits in mathematics, where Mathematics II - Linear Algebra, 7.5 credits (MM5012) and Mathematics II - Algebra and Combinatorics, 7.5 credits (MM5013), or equivalent, are included.

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 III - Abstract algebra

  Stockholm University

  Stockholm

  Start date: 18 January 2027

  End date: 28 March 2027

  Pace of study: 50 %