MA 3361 - MODERN ALGEBRA - GROUPS

A study of abstract algebraic structures focusing on groups. Topics include: dihedral groups. cyclic groups, permutation groups, subgroups, cosets, quotient groups, homomorphisms, isomorphisms, cardinality, generators and relations, Lagrange’s theorem, Cayley’s theorem, the fundamental homomorphism theorem, the fundamental theorem for abelian groups, and applications of groups. MA 3361 and MA 3362 may both be taken for credit, and either course can be taken before the other.

Prerequisites & Notes: MA 3260 or permission of instructor.

Credits: 3 cr.