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Modern Algebra part 2: Homomorphisms and Quotient Groups
Carroll W. Boswell
(Author)
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Createspace Independent Publishing Platform
· Paperback
Modern Algebra part 2: Homomorphisms and Quotient Groups - Boswell, Carroll W.
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Synopsis "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.
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The book is written in English.
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