Description:

This course on Group Theory covers the concepts of automorphism, external and internal direct product, and finite abelian groups. Group Theory is a branch of mathematics that deals with the study of groups, which are sets equipped with an operation that satisfies certain properties. Understanding the properties and structures of groups is fundamental in various areas of mathematics, including algebra, number theory, and cryptography.

Key Highlights:

• Explore the fundamental concepts of group theory
• Understand automorphism and its applications
• Learn about external and internal direct product of groups
• Study the properties and classifications of finite abelian groups

What you will learn:

• Learning Outcome 1
  Gain an in-depth understanding of group theory and its importance in mathematics.
• Learning Outcome 2
  Explore the concept of automorphism and its applications in group theory and related fields.
• Learning Outcome 3
  Study the external and internal direct product of groups and their properties.
• Learning Outcome 4
  Examine the structures and classifications of finite abelian groups.