Course in Group Theory

Name: Course in Group Theory
Price: 18.28 USD
Availability: InStock
ISBN: 9780198534594

ISBN-10: 0198534590

ISBN-13: 9780198534594

Edition: 1996

Authors: John F. Humphreys

List price: $80.00

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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.

Book details

List price: $80.00
Copyright year: 1996
Publisher: Oxford University Press, Incorporated
Publication date: 7/11/1996
Binding: Paperback
Pages: 304
Size: 6.14" wide x 9.21" long x 0.67" tall
Weight: 0.990




Definitions and examples



Maps and relations on sets



Elementary consequences of the definitions



Subgroups



Cosets and Lagrange's Theorem



Error-correcting codes



Normal subgroups and quotient groups



The Homomorphism Theorem



Permutations



The Orbit-Stabilizer Theorem



The Sylow Theorems



Applications of Sylow Theorems



Direct products



The classification of finite abelian groups



The Jordan-Holder Theorem



Composition factors and chief factors



Soluble groups



Examples of soluble groups



Semi-direct products and wreath products



Extensions



Central and cyclic extensions



Groups with at most 31 elements



The projective special linear groups



The Mathieu groups



The classification of finite simple groups



Prerequisites from Number Theory and Linear Algebra



Groups of order [ 32



Solutions to Exercises


Bibliography


Index