A Course on Group Theory

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CUP Archive, Jun 29, 1978 - Mathematics - 310 pages
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Advanced study focuses on finite groups and the idea of group actions. Chapters divided between normal and arithmetical structure of groups. 1978 edition.
 

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Contents

Some conventions and some basic facts
1
Introduction to finite group theory
6
Examples of groups and homomorphisms
12
Normal subgroups homomorphisms and quotients
36
Group actions on sets
68
Finite pgroups and Sylows theorem
88
Groups of even orders
110
Series
120
Direct products and the structure of finitely generated abelian groups
163
Group actions on groups
205
Transfer and splitting theorems
232
Finite nilpotent and soluble groups
266
References
295
Index of notation
301
Index of subjects
306
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