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Module GROUP THEORY 1

Module code: MT342P
Credits: 5
Semester: 2
Department: MATHEMATICS AND STATISTICS
International: Yes
Overview Overview
 

A rigorous introduction to Group Theory. Group Axioms and examples of groups. Direct products. Cyclic groups. The symmetric groups. Subgroups and Lagrange's Theorem. Conjugacy and the class equation. Normal subgroups, quotient groups. Homomorphisms, isomorphisms, the First Isomorphism theorem, the correspondence theorem. Cayley's Theorem. The classification of finitely generated Abelian groups.

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