The solution of the k(GV) problem /

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The <i>k(GV)</i> conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product <i>GV</i> is bounded above by the order of <i>V</i>. Here <i>V</i> is a finite vector space and <i>G</i> a subgroup o...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Schmid, Peter, 1941-
Corporate Author: Imperial College of Science, Technology and Medicine
Format: Electronic eBook
Language:Inglés
Published: London : Singapore ; Hackensack, NJ : Imperial College Press ; Distributed by World Scientific Pub., ©2007.
Series:Imperial College Press advanced texts in mathematics ; v. 4.
Subjects:
Kernel functions.
Noyaux (Mathématiques)
MATHEMATICS > Functional Analysis.
Kernel functions
Online Access:Texto completo
Table of Contents:
  • 1. Conjugacy classes, characters, and Clifford Theory
  • 2. Blocks of characters and Brauer's k(B) problem
  • 3. The k(GV) problem
  • 4. Symplectic and orthogonal modules
  • 5. Real vectors
  • 6. Reduced pairs of extraspecial type
  • 7. Reduced pairs of quasisimple type
  • 8. Modules without real vectors
  • 9. Class numbers of permutation groups
  • 10. The final stages of the proof
  • 11. Possibilities for k(GV) =

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