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Solution Of The K(Gv) Problem by Peter Schmidt

Solution Of The K(Gv) Problem

by Peter Schmidt
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Book cover type: Hardcover
  • ISBN13: 9781860949708
  • Binding: Hardcover
  • Subject: Engineering
  • Publisher: World Scientific Pub
  • Publisher Imprint: World Sc.
  • Publication Date:
  • Pages: 248
  • Original Price: USD 82.0
  • Language: English
  • Edition: N/A
  • Item Weight: 567 grams
  • BISAC Subject(s): General

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.

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