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OverviewThe 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. Full Product DetailsAuthor: Peter Schmid (Univ Tubingen, Germany)Publisher: Imperial College Press Imprint: Imperial College Press Volume: 4 Dimensions: Width: 16.10cm , Height: 2.20cm , Length: 22.90cm Weight: 0.567kg ISBN: 9781860949708ISBN 10: 1860949703 Pages: 248 Publication Date: 27 December 2007 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsConjugacy Classes, Characters and Clifford Theory; Blocks of Characters and Brauer's k(B) Problem; Symplectic and Orthogonal Modules; Holomorphs of Extraspecial Groups and Weil Characters; Self-dual Modules and Real Vectors; Class Numbers of Permutation Groups; Counting Methods.ReviewsSchmid has made an excellent job of providing an overall picture of what needs to be done to solve the k(GV) problem and developing enough of the necessary background results to provide self-contained proofs. -- Mathematical Reviews ""Mathematical Reviews"" "Schmid has made an excellent job of providing an overall picture of what needs to be done to solve the k(GV) problem and developing enough of the necessary background results to provide self-contained proofs. -- Mathematical Reviews ""Mathematical Reviews""" Schmid has made an excellent job of providing an overall picture of what needs to be done to solve the k(GV) problem and developing enough of the necessary background results to provide self-contained proofs. -- Mathematical Reviews Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |