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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भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 248 ● ISBN 9781860949715 ● फाइल का आकार 1.6 MB ● प्रकाशक World Scientific Publishing Company ● शहर Singapore ● देश SG ● प्रकाशित 2007 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 2428758 ● कॉपी सुरक्षा Adobe DRM
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