MATH322-10S1 (C)

Group Theory

This is a first semester course worth 15 points.

Message of the Day

Course Information

Groups most often arise as collections of symmetries of mathematical systems like patterns in the plane or space, graphs or geometries. From its origins in the 18th century when the need arose to formalise the notion of symmetries of algebraic equations, group theory has developed into a flourishing and exciting branch of mathematics. It has remained extremely useful with, for example, applications to enumeration, geometry, graph theory, physics and chemistry.

The course gives a thorough introduction to groups, their internal structure and applications.

Topics

These include permutation groups, groups acting on sets, applications to enumeration, symmetry groups, group constructions, normal subgroups and quotient groups, finitely generated abelian groups, presentations, Sylow theorems and applications, simple groups.

Class Representative

• Cathy Neill

Enquiries

Assoc. Prof. Günter Steinke
Room 603 Erskine Building
Phone Extension 7685
Homepage