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The k(GV) conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product GV is bounded above by the order of V. Here V is a finite vector space and G a subgroup of GL(V) of order prime to that of V. It may be regarded as the special case of Brauer's celebrated k(B) problem dealing with p-blocks B of p-solvable groups (p a prime). Whereas Brauer's problem is still open in its generality, the k(GV) problem has recently been solved, completing the work of a series of authors over a period of more than forty years. In this book the developments, ideas and methods, leading to this remarkable result, are described in detail.
  • Book type: E-book
  • Language: English
  • Book series: Icp Advanced Texts In Mathematics
  • Ean Code: 9781860949715
  • ISBN: 9781860949715
  • Publisher: World Scientific Publishing Company
  • E-Book type: PDF
  • Author: Peter Schmid
  • Kopierschutz: Adobe DRM
  • Gift: No
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