Google Plus

SOLUTION OF THE K(GV) PROBLEM (Icp Advanced Texts in Mathematics)

Price: $118.00
Available on Amazon.com Books
(as of 27/08/2016 15:34 PDT) - Details
Start a Family Page!

Product Details

PRODUCT#: 830142683

Product 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. Contents: Conjugacy Classes, Characters and Clifford Theory; Blocks of Characters and Brauer's k(B) Problem; The k(GV) Problem; Symplectic and Orthogonal Modules; Real Vectors; Reduced Pairs of Extraspecial Type; Reduced Pairs of Quasisimple Type; Modules Without Real Vectors; Class Numbers of Permutation Groups; The Final Stages of the Proof; Possibilities for k(GV) = |V | Some Consequences for Block Theory; The Non-Coprime Situation.. Price: $118.00

People Who Bought This, Also Bought...

Thanks for Shopping
Now share your experience with family and friends.

Create your pages and wish lists for FREE This Christmas!

Upload an Image

Add New Wish List

E.g $99, Medium, 123Blue, Laptop-1

Save an Idea

Upload an Image

Add this link to your Bookmarks Bar

Share Idea from a Website

Add to wishlist