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A Course in Group Theory
Contributor(s): Humphreys, John F. (Author)

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ISBN: 0198534590     ISBN-13: 9780198534594
Publisher: Oxford University Press, USA
OUR PRICE: $76.00  

Binding Type: Paperback
Published: July 1996
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Annotation: The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely unknown outside of the mathematics community. This introduction to group theory is also an attempt to make this important work better known.
Emphasizing classification themes throughout, the book gives a clear and comprehensive introduction to groups and covers all topics likely to be encountered in an undergraduate course. Introductory chapters explain the concepts of group, subgroup and normal subgroup, and quotient group. The
homomorphism and isomorphism theorems are explained, along with an introduction to G-sets. Subsequent chapters deal with finite abelian groups, the Jordan-Holder theorem, soluble groups, p-groups, and group extensions. The numerous worked examples and exercises in this excellent and self-contained
introduction will also encourage undergraduates (and first year graduates) to further study.

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Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Research
- Language Arts & Disciplines | Linguistics - General
Dewey: 512.2
LCCN: 97108432
Series: Oxford Science Publications
Physical Information: 0.64" H x 6.6" W x 9.16" L (0.91 lbs) 296 pages
Features: Bibliography, Index, Maps
 
Descriptions, Reviews, Etc.
Publisher Description:
The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely unknown outside of the mathematics community. This introduction to group theory is also an attempt to make this important work better known.
Emphasizing classification themes throughout, the book gives a clear and comprehensive introduction to groups and covers all topics likely to be encountered in an undergraduate course. Introductory chapters explain the concepts of group, subgroup and normal subgroup, and quotient group. The
homomorphism and isomorphism theorems are explained, along with an introduction to G-sets. Subsequent chapters deal with finite abelian groups, the Jordan-Holder theorem, soluble groups, p-groups, and group extensions. The numerous worked examples and exercises in this excellent and self-contained
introduction will also encourage undergraduates (and first year graduates) to further study.
 
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