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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Postgraduate students and researchers with background and research interests in group and representation theory.
Produkt-Hinweis
Maße
Höhe: 229 mm
Breite: 161 mm
Dicke: 22 mm
Gewicht
ISBN-13
978-1-86094-970-8 (9781860949708)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
