Solution Of The K(gv) Problem, The
by
Peter Schmid
Book Details
Format
Hardback or Cased Book
Book Series
Icp Advanced Texts In Mathematics
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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