John S. Rose

A Course on Group Theory (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications.
Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 320
• Erscheinungstermin: 29. April 2013
• Englisch
• ISBN-13: 9780486170664
• Artikelnr.: 39073692

Autorenporträt

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

Inhaltsangabe

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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