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## Group Theory SeminarThis 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 ## DiagnosticsARE YOU READY? |

7 weeks ARE YOU READY? |

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### 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 |