| Preface to the Second Edition Preface to the First Edition Notation CHAPTER 1 Fundamental Concepts of Group Theory 1.1. Binary Operations， Semigroups， and Groups 1.2. Examples of Groups 1.3. Subgroups and Cosets 1.4. Homomorphisms and Quotient Groups 1.5. Endomorphisms and Automorphisms 1.6. Permutation Groups and Group Actions CHAPTER 2 Free Groups and Presentations 2.1. Free Groups 2.2. Presentations of Groups 2.3. Varieties of Groups CHAPTER 3 Decompositions of a Group 3.1. Series and Composition Series 3.2. Some Simple Groups 3.3. Direct Decompositions CHAPTER 4 Abielian Groups CHAPTER 5 Soluble and Nilpotent Groups CHAPTER 6 Free Groups and Free Products CHAPTER 7 Finite Permuation Groups CHAPTER 8 Representations of Groups CHAPTER 9 Finite Soluble Groups CHAPTER 10 The Transfer and Its Applications CHAPTER 11 The Theory of Group Eltensions CHAPTER 12 Generalization of Nilpotent and Soluble Groups CHAPTER 13 Subnormal Subgroups CHAPTER 14 Finiteness Properties CHAPTER 15 Infinite Souluble Groups Bibliography Index |
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