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Characters of Solvable Groups

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Author(s): I.Martin Issacs
Series: Graduate Studies in Mathematics 189
Publisher: American Mathematical Society
Year: 2018

Language: English
Pages: 384

Cover......Page 1
Title page......Page 4
Contents......Page 8
Preface......Page 10
Part 1 . ��-Theory......Page 14
Chapter 1. ��-Separable Groups and Character Theory Background......Page 16
Chapter 2. ��-Special Characters......Page 38
Chapter 3. Partial Characters......Page 80
Chapter 4. The Nucleus and ��_{��}-Characters......Page 108
Chapter 5. ��_{��}(��) and ��_{��}(��)......Page 144
Part 2 . Character Counts and Correspondences......Page 184
Chapter 6. The Okuyama–Wajima Argument......Page 186
Chapter 7. Fully Ramified Abelian Sections......Page 222
Chapter 8. Fully Ramified Sections and Character Correspondences......Page 258
Part 3 . M-Groups......Page 298
Chapter 9. M-Groups and Monomial Characters......Page 300
Chapter 10. Symplectic Modules and Character Theory......Page 324
Bibliography......Page 372
Index......Page 376
Back Cover......Page 384