Abstract Algebra: We note some items that distinguish non-isomorphic groups, including cardinality, orders of elements and subgroups, abelian and cyclic properties, and normality of subgroups. We give a classification of all groups with order less than or equal to 7.
U.Reddit course materials available at ureddit.com/class/23794/intro-to-group-theory Master list at mathdoctorbob.org/UReddit.html
Includes course on Group Theory (problems and solutions at website) and Ring Theory, and Field Theory. For Prerequisites on proofs and sets, see the Math Major Basics course.