MATH 403 A: Introduction to Modern Algebra

Elementary theory of groups: basic examples of finite and infinite groups, symmetric and alternating groups, dihedral groups, subgroups, normal subgroups, quotient groups, isomorphism theorems, finite abelian groups. Additional topics including Sylow theorems, group actions, congugacy classes and counting techniques may be covered. Prerequisite: a minimum grade of 2.0 in MATH 402. Offered: WSp.