Group Theory

The online course "Group Theory" is a 14-week mathematics course focused on the study of symmetry and its profound applications in mathematics and various fields like physics, chemistry, and music. Students will explore the fundamentals of group theory, investigating the nature of symmetrical properties in objects and mathematical structures. They will delve into constructing groups from existing ones, identifying symmetry groups in geometric objects, and employing group theory tools to create fields. Ultimately, the course aims to elucidate how contemporary mathematicians grasp the concept of "symmetry" in its broad and seemingly abstract sense. The course is structured with a syllabus available for review.