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

ARE YOU READY?
7 weeks ARE YOU READY?  

Schedule

There are no classes currently scheduled.

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AoPS Holidays

There are no classes December 21–January 3, May 23–25, July 3–5, and September 5–7.

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 class dramatically enhanced my ability to solve Olympiad-level geometry problems, as well as my problem solving skills in general. The instruction was some of the best I've ever seen. Not only did the class explain the techniques for solving various problems, but it also gave the motivation for thinking of a particular technique for a problem. I can now complete problems that used to take me weeks to solve in a couple hours!

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