Introduction to group theory, including: cyclic groups, symmetric groups, subgroups and normal subgroups, Lagrange's theorem, quotient groups and homomorphisms, isomorphism theorems, group actions, Sylow's theorem, simple groups, direct and semidirect products, fundamental theorem on finitely generated Abelian groups. Weekly hours: 3 Lecture hours and 1 Practicum/Lab hoursPrerequisite(s): MATH 163 and MATH 164; or MATH 266
Introduction to group theory, including: cyclic groups, symmetric groups, subgroups and normal subgroups, Lagrange's theorem, quotient groups and homomorphisms, isomorphism theorems, group actions, Sylow's theorem, simple groups, direct and semidirect products, fundamental theorem on finitely generated Abelian groups. Weekly hours: 3 Lecture hours and 1 Practicum/Lab hoursPrerequisite(s): MATH 163 and MATH 164; or MATH 266