Group Theory-II

Take your understanding of group theory to the next level

About the course

Description:

This course is a continuation of Group Theory-I and dives deeper into the study of abstract algebra. It explores advanced topics in group theory, including subgroups, cosets, normal subgroups, quotient groups, and group homomorphisms. The course focuses on theorems, proofs, and applications of group theory in various mathematical fields.

Key Highlights:

  • Advanced topics in group theory
  • Study of subgroups, cosets, and normal subgroups
  • Exploration of quotient groups and group homomorphisms
  • Theorems, proofs, and applications in mathematics

What you will learn:

  • Deepen your understanding of advanced group theory
    Learn about subgroups, cosets, and normal subgroups and their properties
  • Explore quotient groups and their applications
    Understand the concept of quotient groups and how they relate to the original group structure
  • Study group homomorphisms and their properties
    Discover the concept of group homomorphisms and their role in preserving structure
  • Apply group theory in various mathematical fields
    See how group theory is used in cryptography, number theory, and other areas of mathematics

Syllabus

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