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Solution Of The K(gv) Problem, The
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Solution Of The K(gv) Problem, The

Book Details

Format Hardback or Cased Book
ISBN-10 1860949703
ISBN-13 9781860949708
Publisher Imperial College Press
Imprint Imperial College Press
Country of Manufacture GB
Country of Publication GB
Publication Date Dec 27th, 2007
Print length 248 Pages
Weight 562 grams
Dimensions 23.10 x 16.00 x 2.20 cms
Product Classification: Groups & group theory
Ksh 18,700.00
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The k(GV) problem has been finally solved, completing the work of a series of authors. This book describes the developments, ideas and methods, leading to this result.
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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