The solution of the k(GV) problem

"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."--Jacket.

שנה

2007

שפה

English

סדרה

ICP advanced texts in mathematics -- v. 4

הוצאה

Imperial College Press

מהדורות

1

עמודים

232

ISBN

9781860949708

מקור הנתונים: Wikidata