Group Theory Seminar Online Math Course
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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

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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

This course was very helpful, and it was a great way to learn geometry. I had a lot of fun doing the problem sets and in class. Some of the problems were very challenging but it was very satisfying if I was able to solve them. I am very glad I took this course and am excited to move on to other math next year.

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