A Course on Group Theory

John S. Rose (Autor)

Buch | Softcover

320 Seiten

2003
Dover Publications Inc. (Verlag)
9780486681948 (ISBN)

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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.

This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters identify important themes and establish the notation used throughout the book, and subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Includes 679 exercises. 1978 edition.

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

Erscheint lt. Verlag	28.3.2003
Sprache	englisch
Maße	137 x 216 mm
Gewicht	395 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-13	9780486681948 / 9780486681948
Zustand	Neuware