Abstract Algebra by Irena Swanson

Irena Swanson

In Abstract Algebra, Irena Swanson defines fields assumed throughout these notes. These notes cover the following topics: Groups, Bijections, Commutativity, Frequent groups and groups with names, Subgroups, Group generators, Plane groups, Orders of groups and elements, One-generated subgroups, Permutation groups, Group homomorphisms, Group isomorphisms, RSA public key encryption scheme, Centralizer, and the class equation, Normal subgroups, The isomorphism theorems, Fundamental Theorem of Finite Abelian Groups, Quotient rings, Prime ideals.