- The solution of the k(GV) problem : ICP advanced texts in mathematics
- Tác giả: Peter Schmid
- Số Tập:Volume 4
- Nhà xuất bản: Imperial College Press - Singapore
- Năm xuất bản: 2007
- Số trang:232 p.
- Kích thước:24 cm
- Số đăng ký cá biệt:48235
- ISBN:9781860949708
- Mã Dewey:515.7223
- Đơn giá:0
- Vị trí lưu trữ:03 Quang Trung
- Ngôn ngữ:English
- Loại tài liệu:Sách Tham Khảo
- Đang rỗi/ Tổng sách:4/4
- Từ khóa:Kernel functions
- Chủ đề: Kernel functions
- Chuyên ngành: Khoa Học Tự Nhiên
- Tóm tắt: 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.