Attribute | Rank |
---|---|

Difficulty | 2 |

Proof Quality | 4 |

Readability | 5 |

Self-Study | 5 |

Good for Teaching? | 5 |

Quality of Exercises | 5 |

- Operations
- Groups/Subgroups
- generators and defining relations

- Permutations
- Isomorphism
- Cyclic Groups
- Partitions and Equivalence Relations
- Cosets
- Homomorphisms
- Quotient Groups
- Sylow Subgroups/ Sylow's Theorem
- Rings
- Ideals
- Quotient Rings
- Integral Domains
- Polynomials - Rings, Factoring, and Substitutions
- Extensions of Fields
- Vector Spaces
- Intro to Galois Theory