The Solution of the k(GV) Problem

von Peter Schmid

248 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• ISBN: 9781860949708
• Sprache: Englisch
• Erscheinungsdatum: 01.01.2008
• Größe: 229 x 161 mm
• Verlag: Imperial College Press