Solution Of The K(gv) Problem, The

Author:   Peter Schmid (Univ Tubingen, Germany)
Publisher:   Imperial College Press
Volume:   4
ISBN:  

9781860949708


Pages:   248
Publication Date:   27 December 2007
Format:   Hardback
Availability:   Out of stock   Availability explained
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Solution Of The K(gv) Problem, The


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Overview

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.

Full Product Details

Author:   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:  

9781860949708


ISBN 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   Availability explained
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 Contents

Conjugacy 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.

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"""


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


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