Modern Algebra Part 2 : Homomorphisms And Quotient Groups

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.

• | Author: Carroll Boswell
• | Publisher: Createspace Independent Publishing Platform
• | Publication Date: May 19, 2018
• | Number of Pages: 100 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 1718793030
• | ISBN-13: 9781718793033