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.
- ISBN13 9781860949708
- Publish Date 27 December 2007
- Publish Status Active
- Publish Country GB
- Imprint Imperial College Press
- Format Hardcover
- Pages 248
- Language English
- URL https://worldscientific.com/worldscibooks/10.1142/p532