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Abstract Algebra Course

What will I learn?

Unlock the power of Abstract Algebra with our comprehensive course designed for mathematics professionals. Delve into subgroup analysis, explore group properties, and master Lagrange's Theorem. Hone your problem-solving skills in group theory, and understand the intricacies of dihedral, cyclic, and symmetric groups. Discover real-world applications in cryptography, physics, and chemistry. With a focus on advanced concepts like commutator subgroups and homomorphisms, this course offers top-quality, practical insights to elevate your expertise.

Apoia's Advantages

Online and lifetime access to courses
Certificate aligned with educational standards
Printable PDF summaries
Online support always available
Select and arrange the chapters you'd like to study
Set your own course workload
Instant feedback on practical activities
Study at your convenience, no internet required

Develop skills

Strengthen the development of the practical skills listed below

Master subgroup analysis: Understand definitions, properties, and Lagrange's Theorem.

Solve group theory problems: Prove properties and analyse group structures effectively.

Explore group types: Gain insights into dihedral, cyclic, and symmetric groups.

Apply group theory: Utilise concepts in cryptography, physics, and chemistry.

Grasp advanced concepts: Learn about commutator subgroups and group homomorphisms.

Suggested summary

Workload: between 4 and 360 hours

Before starting, you can change the chapters and the workload.

  • Choose which chapter to start with
  • Add or remove chapters
  • Increase or decrease the course workload

Examples of chapters you can add

You will be able to generate more chapters like the examples below

This is a free course, focused on personal and professional development. It is not equivalent to a technical, undergraduate, or postgraduate course, but offers practical and relevant knowledge for your professional journey.