## MATH 8806 Algebra I (Fall: 3 )

### Course Description

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.

Instructor(s):

Last Updated: 25-Feb-14