A Course in Group Theory (Oxford Science Publications) - Softcover

Humphreys, John F.

Softcover

ISBN 10: 0198534590 ISBN 13: 9780198534594

Publisher: Oxford University Press, 1996

Synopsis

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.

About this title

About the Author

John Humphreys is at University of Liverpool.

Review

"Distinctive, careful, leisurely, self-contained. . .this oddly slender 25-chapter volume is ideal both for independent study and as a resource for upper-division undergraduates, novice graduate students, or faculty."--Choice

"This text is quite readable and does a good job." --Mathematical Reviews

Edition details

• Publisher: Oxford University Press
• Publication date: 1996
• ISBN 10: 0198534590
• ISBN 13: 9780198534594
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 292