John S. Rose

A Course on Group Theory

• Broschiertes Buch

Produktbeschreibung

Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.

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Produktdetails

• Dover Books on Mathema 1.4tics
• Verlag: Dover Publications Inc.
• Seitenzahl: 320
• Erscheinungstermin: 28. März 2003
• Englisch
• Abmessung: 215mm x 137mm x 16mm
• Gewicht: 375g
• ISBN-13: 9780486681948
• ISBN-10: 0486681947
• Artikelnr.: 21660821

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