MATH 363 Abstract Algebra

Spring, Fall

An introduction to axiomatic algebraic structures. Topics include groups, subgroups, permutation groups, cyclic groups, normal
subgroups, quotient groups, homomorphisms, isomorphisms, rings, integral domains, polynomial rings, ideals, quotient rings, fields, and
extension fields. Additional topics may include finite fields, Galois theory, and advanced topics from linear algebra. (Course offered in
alternate years; scheduled for 2017-2018.)