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


7 weeks ARE YOU READY?  


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AoPS Holidays

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


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

I really loved taking the Prealgebra courses! They were so insightful and helped me understand and think in ways that I normally don't. I like that when I ask for help with, say, a free-response question, the moderators/instructors/teachers don't just tell me what the answer is; they lead me to figure out the answer. A friend of mine told me about the course because she takes it too. I'm really glad she did, because it helps me understand, not just blindly accept, things that I didn't get before. Thank you, AoPS!

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