Lecturer: Dr. Mark Walker

Monday, August 24 | Definition of a Group, D_2n | |

Wednesday, August 26 | Definition of #G, #D_2n, S_n | |

Friday, August 28 | S_n, Quaternions | |

Monday, August 31 | Group Homomorphisms and Isomorphisms | |

Wednesday, September 2 | Group Actions | |

Friday, September 4 | Centralizers, Normalizers and Kernels | |

Monday, September 7 | Labor Day—No class | |

Wednesday, September 9 | Cyclic Groups and Lattices | |

Friday, September 11 | Quotient Groups | |

Monday, September 14 | Cosets and normal subgroups | |

Wednesday, September 16 | Lagrange's Theorem | |

Friday, September 18 | First Isomorphism Theorem | |

Monday, September 21 | Second and Third Isomorphism Theorems | |

Wednesday, September 23 | Latice Theorem | |

Friday, September 25 | Jordan-Holder Theorem | |

Monday, September 28 | Proof of Jordan-Holder Theorem | |

Wednesday, September 30 | Signs of permutations and LOIS | |

Friday, October 2 | LOIS examples and Cayley's Theorem | |

Monday, October 5 | Class Equation | |

Wednesday, October 7 | Conjugacy classes of A_5 | |

Friday, October 9 | Automorphisms | |

Monday, October 12 | Review for midterm | |

Wednesday, October 15 | Inner and Outer Automorphism | |

Friday, October 16 | Exam makeup—No class | |

Monday, October 19 | Fall Break—No class | |

Wednesday, October 21 | Elementary Abelian p Groups and Sylow p Subgroups | |

Friday, October 23 | Sylow p-Groups [Incomplete] | |

Monday, October 26 | Coming soon! | |

Wednesday, October 28 | Analyzing groups of Order 30 | |

Friday, October 30 | Direct Products [Incomplete] | |

Monday, November 2 | Decomposition into Direct Products [Incomplete] | |

Wednesday, November 4 | Semi-Direct Products | |

Friday, November 6 | Decomposition into Semi-Direct Products [Incomplete] | |

Monday, November 9 | Coming soon! | |

Wednesday, November 11 | Vector Spaces and Bases | |

Friday, November 13 | Bases of Finite Vector Spaces have the same Cardinality [Incomplete] | |

Monday, November 16 | Matrix for of Vector Space Homomorphisms [Incomplete] | |

Wednesday, November 18 | Quotient Spaces | |

Friday, November 20 | Rank, Nulity and the Determinant |

Raw .tex files available upon request. Please send questions, corrections and/or LaTeX tips to: jnir@huskers.unl.edu

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