MATH 8806
Algebra I
This course, with MATH8807, will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra (uniqueness of factorization, Jordan decomposition, Dedekind rings, class groups, local rings, Spec); finite fields; algebraic numbers; Galois theory; Homological algebra; and Semisimple algebra.
Topics
- Group Theory (Group actions
- Sylow
- Nilpotent/Solvable
- simple groups
- Jordan-Holder series
- presentations)
- commutative algebra (uniqueness of factorization
- Jordan decomposition
- Dedekind rings
- class groups
- local rings
- Spec)
- finite fields
- algebraic numbers
- Galois theory
- Homological algebra
- and Semisimple algebra
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027