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A Course on Group Theory
Dover Books on Mathematics

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Format
Paperback, 320 pages
Published
United States, 13 June 2012

Preface 0 Some conventions and some basic facts 1 Introduction to finite group theory 2 Examples of groups and homomorphisms 3 "Normal subgroups, homomorphisms and quotients" 4 Group actions on sets 5 Finite p-groups and Sylow's theorem 6 Groups of even orders 7 Series 8 Direct products and the structure of finitely generated abelian groups 9 Group actions on groups 10 Transfer and splitting theorems 11 Finite nilpotent and soluble groups References Index of notation Index of subjects


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Product Description

Preface 0 Some conventions and some basic facts 1 Introduction to finite group theory 2 Examples of groups and homomorphisms 3 "Normal subgroups, homomorphisms and quotients" 4 Group actions on sets 5 Finite p-groups and Sylow's theorem 6 Groups of even orders 7 Series 8 Direct products and the structure of finitely generated abelian groups 9 Group actions on groups 10 Transfer and splitting theorems 11 Finite nilpotent and soluble groups References Index of notation Index of subjects

Product Details
EAN
9780486681948
ISBN
0486681947
Other Information
illustrations
Dimensions
21.5 x 13.7 x 1.6 centimetres (0.34 kg)

Table of Contents

Preface 0 Some conventions and some basic facts 1 Introduction to finite group theory 2 Examples of groups and homomorphisms 3 "Normal subgroups, homomorphisms and quotients" 4 Group actions on sets 5 Finite p-groups and Sylow's theorem 6 Groups of even orders 7 Series 8 Direct products and the structure of finitely generated abelian groups 9 Group actions on groups 10 Transfer and splitting theorems 11 Finite nilpotent and soluble groups References Index of notation Index of subjects

About the Author

The late John S. Rose was Senior Lecturer in Pure Mathematics at England's University of Newcastle upon Tyne.

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