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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 May 29, July 4, or September 4.

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

I have loved all the Art of Problem Solving courses that I've taken in the past, and this one was no exception. The instructor was very knowledgeable and fun to work with, and I learned many new concepts every week. It is a great privilege to take these classes; Art of Problem Solving has truly changed my life.

ACS WASC
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