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Modern Algebra part 2: Homomorphisms and Quotient Groups

Modern Algebra part 2: Homomorphisms and Quotient Groups

Paperback

Series: Modern Algebra, Book 2

General Mathematics

ISBN10: 1718793030
ISBN13: 9781718793033
Publisher: Createspace
Published: May 19 2018
Pages: 94
Weight: 0.71
Height: 0.24 Width: 8.50 Depth: 11.00
Language: English
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.

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General Mathematics