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

Humphreys, John F.

Softcover

ISBN 10: 0198534590 ISBN 13: 9780198534594

Publisher: Oxford University Press, USA, 1996

Synopsis

Research in group theory have resulted in a large number of books written for postgraduates in the subject, but a good introductory text is difficult to find. This book fills the gap, providing a clear and comprehensive introduction to the theory of groups and covering all topics likely to be encountered in undergraduate courses. 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

Review

The arguments are clear and full proofs are given. ... The whole text is actually built up around the idea of classification theorems. The inherent limitations of such an approach put aside, such glimpses of a distant horizon can do a lot towards stimulating the students to find more about the subject for themselves. (M Deaconescu, Zentralblatt fur Mathematik, Band 843/96.)

Clear and fast moving, as you'd expect from this author. (New Scientist, Ian Stewart, September 1996,)

Synopsis

This book is an excellent and self-contained introduction to the theory of groups, covering all topics likely to be encountered in undergraduate courses. It aims to stimulate and encourage undergraduates to find out more about their subject. The book takes as its theme the various fundamental classification theorems in finite group theory, and the text is further explained in numerous examples and exercises, and summaries at the end of each chapter. This book is intended for first, second and third year undergraduates and first year postgraduates studying group theory.

Edition details

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