MATH 8807
Algebra II
This course, with MATH8806, 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; 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
- semisimple algebra
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027