Wow! eBook
Solution Of The K(Gv) Problem, The
Author(s): Peter Schmid (Author)
- Publisher: Icp
- Publication Date: December 21, 2007
- Language: English
- Print length: 246 pages
- ISBN-10: B00NP2X3T0
Book Description
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.
