Group Theory Seminar Online Math Course

Group Theory Seminar

This 7-week seminar is an introduction to the basics of group theory. In this seminar we will focus on defining and understanding groups: how they are constructed and how they interact with the rest of the world. This seminar is not intended to be a complete group theory course (which is a core component of a college undergraduate mathematics curriculum), but rather is intended to give strong high school students a first look at the most important concepts and examples of this very vast subject.

7 weeks

Diagnostics

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7 weeks ARE YOU READY?  

Schedule

There are no classes currently scheduled.

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AoPS Holidays

There are no classes October 31, November 23–29, and December 21–January 3.

Lessons

Lesson 1 Symmetry
Lesson 2 Examples of Groups
Lesson 3 Cyclic Groups
Lesson 4 Abelian Groups
Lesson 5 Group Actions
Lesson 6 Orbits and Burnside
Lesson 7 Polya Counting and Cayley Graphs

Overall, the course was excellent and I learned a lot. The textbook was awesome. The problems given in Alcumus and in the challenge set were fun to work on and helped me to understand the math concepts covered in the class. Each problem given was so unique (and sometimes even hilarious) that it tested my understanding of the concepts in completely different ways each time.

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