Office Hours: 2:00-3:00pm Thursdays

Alex Scheffelin, alexs98@uw.edu

Office Hours: 3:30-4:30pm Fridays

The Category Theory lecture notes can be found here.

Week | Subject | Sections from Aluffi | Problem Set | Lecturer(s) |
---|---|---|---|---|

Winter Break | Set Theory and Category Theory | Chapter 1 | Problem Set | Andreas (guest lecturer) |

Week 1 | The definition of a group and examples | Sections 2.1 and 2.2 | Problem Set | Daniel R. |

Week 2 | Group homomorphisms and the category of groups | Sections 2.3 and 2.4 | Problem Set | Peter & Yunkyu |

Week 3 | Subgroups, normality, and quotient groups | Sections 2.6 and 2.7 | Problem Set | Max |

Week 4 | Cannonical decomposition and Lagrange's theorem, presentations and free groups | Sections 2.5 and 2.8 | Problem Set | Jason |

Week 5 | Group actions, the conjugation action, and the class formula | Sections 2.9 and 4.1 | Problem Set | Chen |

Week 6 | The Sylow theorems | Section 4.2 | Problem Set | Omar |

Week 7 | Composition series and solvability | Section 4.3 | Problem Set | Bashir |

Week 8 | The symmetric group | Section 4.4 | Problem Set | |

Week 9 | More products of groups, exact sequences of groups, the extension problem | Section 4.5 | Problem Set | |

Week 10 | The classification of finite abelian groups | Section 4.6 |