Character Theory Of Finite Groups

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Character Theory Of Finite GroupsISBN13:9780486680149ISBN10:0486680142Author:Isaacs, I. Martin (Author)Description:The Book Is A Pleasure To Read There Is No Question But That It Will Become, And Deserves To Be, A Widely Used Textbook And Reference -- Bulletin Of The American Mathematical Society Character Theory Provides A Powerful Tool For Proving Theorems About Finite Groups In Addition To Dealing With Techniques For Applying Characters To Pure Group Theory, A Large Part Of This Book Is Devoted To The Properties Of The Characters Themselves And How These Properties Reflect And Are Reflected In The Structure Of The Group Chapter I Consists Of Ring Theoretic Preliminaries Chapters 2 To 6 And 8 Contain The Basic Material Of Character Theory, While Chapter 7 Treats An Important Technique For The Application Of Characters To Group Theory Chapter 9 Considers Irreducible Representations Over Arbitrary Fields, Leading To A Focus On Subfields Of The Complex Numbers In Chapter 10 In Chapter 15 The Author Introduces Brauer's Theory Of Blocks And Modular Characters Remaining Chapters Deal With More Specialized Topics, Such As The Connections Between The Set Of Degrees Of The Irreducible Characters And Structure Of A Group Following Each Chapter Is A Selection Of Carefully Thought Out Problems, Including Exercises, Examples, Further Results And Extensions And Variations Of Theorems In The Text Prerequisites For This Book Are Some Basic Finite Group Theory: The Sylow Theorems, Elementary Properties Of Permutation Groups And Solvable And Nilpotent Groups Also Useful Would Be Some Familiarity With Rings And Galois Theory In Short, The Contents Of A First-Year Graduate Algebra Course Should Be Sufficient Preparation Binding:Paperback, PaperbackPublisher:DOVER PUBN INCPublication Date:2011-11-02Weight:0.76 lbsDimensions:0.63'' H x 8.48'' L x 5.42'' WNumber of Pages:336Language:English

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Location: USA

End Time: 2024-08-26T10:24:36.000Z

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