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 May 29, July 4, September 4, November 18 - 26, 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

I have taken many other online and in-person extracurricular math courses but this was the first one that I found engaging, difficult, and instructive. I particularly enjoy that the problems we do require actual thinking and creativity, not just repetition/memorization. The format for the lectures is something I've never seen and I think it works really well. I have learned a lot. Thank you so much!

ACS WASC
ACCREDITED
SCHOOL

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