Carroll W Boswell

Modern Algebra part 2 Carroll W Boswell

In this part we continue the study of finite groups in the same style and with the same philosophy as part 1. There is a greater degree of abstraction as we build on the intuitive grasp of the group structure as it was developed in part 1; the emphasis is more on the proofs of fundamental theorems than about the details of specific examples, although examples continue to play a prominent role. This part covers isomorphisms, automorphisms, homomorphisms, characteristic and normal subgroups, the Isomorphism Theorems, quotient groups, and the properties of some particularly important subgroups: the socle, the center, the derived subgroup, and the Frattini subgroup.