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Characters of Finite Groups. Part 1
 
Ya. G. Berkovich University of Haifa, Haifa, Israel
E. M. Zhmud′ Kharkov University, Ukraine, Russia
Characters of Finite Groups. Part 1
Hardcover ISBN:  978-0-8218-4606-3
Product Code:  MMONO/172
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4587-4
Product Code:  MMONO/172.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4606-3
eBook: ISBN:  978-1-4704-4587-4
Product Code:  MMONO/172.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Characters of Finite Groups. Part 1
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Characters of Finite Groups. Part 1
Ya. G. Berkovich University of Haifa, Haifa, Israel
E. M. Zhmud′ Kharkov University, Ukraine, Russia
Hardcover ISBN:  978-0-8218-4606-3
Product Code:  MMONO/172
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4587-4
Product Code:  MMONO/172.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4606-3
eBook ISBN:  978-1-4704-4587-4
Product Code:  MMONO/172.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1721998; 382 pp
    MSC: Primary 20;

    This book discusses character theory and its applications to finite groups. The work places the subject within the reach of people with a relatively modest mathematical background. The necessary background exceeds the standard algebra course with respect only to finite groups.

    Starting with basic notions and theorems in character theory, the authors present a variety of results on the properties of complex-valued characters and applications to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations and applications of monomial groups. The presentation is detailed, and many proofs of known results are new. Most of the results in the book are presented in monograph form for the first time. Numerous exercises offer additional information on the topics and help readers to understand the main concepts and results.

    Readership

    Graduate students and researchers in finite group theory and its applications.

  • Table of Contents
     
     
    • Chapters
    • Basic concepts
    • Characters
    • On arithmetical properties of characters
    • Products of characters
    • Induced characters and representations
    • Projective representations
    • Clifford theory
    • Brauer’s induction theorems
    • Faithful representations
    • Existence of normal subgroups
    • On sums of degrees of irreducible characters
    • Groups of relatively small height
    • The Brauer-Suzuki theorem
    • Appendices
    • Notes on the Bibliography
    • Bibliography
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1721998; 382 pp
MSC: Primary 20;

This book discusses character theory and its applications to finite groups. The work places the subject within the reach of people with a relatively modest mathematical background. The necessary background exceeds the standard algebra course with respect only to finite groups.

Starting with basic notions and theorems in character theory, the authors present a variety of results on the properties of complex-valued characters and applications to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations and applications of monomial groups. The presentation is detailed, and many proofs of known results are new. Most of the results in the book are presented in monograph form for the first time. Numerous exercises offer additional information on the topics and help readers to understand the main concepts and results.

Readership

Graduate students and researchers in finite group theory and its applications.

  • Chapters
  • Basic concepts
  • Characters
  • On arithmetical properties of characters
  • Products of characters
  • Induced characters and representations
  • Projective representations
  • Clifford theory
  • Brauer’s induction theorems
  • Faithful representations
  • Existence of normal subgroups
  • On sums of degrees of irreducible characters
  • Groups of relatively small height
  • The Brauer-Suzuki theorem
  • Appendices
  • Notes on the Bibliography
  • Bibliography
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.