MATH171 HM - Abstract Algebra I

Credit(s): 3

Instructor(s): Karp, Lindo, Omar, Orrison, Staff (CMC), Staff (Pomona)

Offered: Jointly; Fall semester at HMC and CMC, Spring semester at HMC and Pomona

Description: Groups, rings, fields, and additional topics. Topics in group theory include groups, subgroups, quotient groups, Lagrange’s theorem, symmetry groups, and the isomorphism theorems. Topics in Ring theory include Euclidean domains, PIDs, UFDs, fields, polynomial rings, ideal theory, and the isomorphism theorems. In recent years, additional topics have included the Sylow theorems, group actions, modules, representations, and introductory category theory.

Prerequisite(s): MATH073 HM and MATH055 HM