编辑推荐 《群论导论(第4版)(英文版)》是由世界图书出版公司出版的。 作者简介 作者：(美国)罗曼(Joseph J.Rotman) 目录 Preface to the Fourth Edition From Preface to the Third Edition To the Reader CHAPTER 1 Groups and Homomorphisms Permutations Cycles Factorization into Disjoint Cycles Even and Odd Permutations Semigroups Groups Homomorphisms CHAPTER 2 The Isomorphism Theorems Subgroups Lagrange's Theorem Cycic Groups Normal Subgroups Quotient Groups The Isomorphism Theorems Correspondence Theorem Direct Products CHAPTER 3 Symmetric Groups and G-Sets Conjugates Symmetric Groups The Simplicity of A. Some Representation Theorems G-Sets Counting Orbits Some Geometry CHAPTER 4 The Sylow Theorems p-Groups The Sylow Theorems Groups of Small Order CHAPTER 5 Normal Series Some Galois Theory The Jordan-Ho1der Theorem Solvable Groups Two Theorems of P. Hall Central Series and Nilpotent Groups p-Groups CHAPTER 6 Finite Direct Products The Basis Theorem The Fundamental Theorem of Finite Abelian Groups Canonical Forms; Existence Canonical Forms; Uniqueness The KrulI-Schmidt Theorem Operator Groups CHAPTER 7 Extensions and Cohomology The Extension Problem Automorphism Groups Semidirect Products Wreath Products Factor Sets Theorems of Schur-Zassenhaus and GaschiJtz Transfer and Burnside's Theorem Projective Representations and the Schur Multiplier Derivations CHAPTER 8 Some Simple Linear Groups Finite Fields The General Linear Group PSL(2， K) PSL(m， K) Classical Groups CHAPTER 9 Permutations and the Mathieu Groups Multiple Transitivity Primitive G-Sets Simplicity Criteria Atline Geometry Projeetive Geometry Sharply 3-Transitive Groups Mathieu Groups Steiner Systems CHAPTER 10 Abelian Groups Basics Free Abelian Groups Finitely Generated Abelian Groups Divisible and Reduced Groups Torsion Groups Subgroups of Character Groups CHAPTER 11 Free Groups and Free Products Generators and Relations Semigroup Interlude Coset Enumeration Presentations and the Schur Multiplier Fundamental Groups of Complexes Tietze's Theorem Covering Complexes The Nielsen Schreier Theorem Free Products The Kurosh Theorem The van Kampen Theorem Amalgams HNN Extensions CHAPTER 12 The Word Problem Introduction Turing Machines The Markov-Post Theorem The Novikov-Boone-Britton Theorem: Sufficiency of Boone's Lemma Cancellation Diagrams The Novikov-Boone-Britton Theorem: Necessity of Boone's Lemma The Higman Imbedding Theorem Some Applications Epilogue APPENDIX I Some Major Algebraic Systems APPENDIX II Equivalence Relations and Equivalence Classes APPENDIX Ill Functions APPENDIX IV Zorn's Lemma APPENDIX V Countability APPENDIX VI Commutative Rings Bibliography Notation Index .............'
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