In preparing this new edition I have tried to keep the changes to a minimum, on the principle that one should not meddle with a relatively successful text. Thus the general form of the book remains the same. Naturally I have taken the opportunity to correct the errors of which I was aware. Also the text has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included.
目录
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
