The solution of the k(GV) problem
Peter Schmid · 2007
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"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.
Book details
- Year
- 2007
- Language
- English
- Series
- ICP advanced texts in mathematics -- v. 4
- Publisher
- Imperial College Press
- Editions
- 1
- Pages
- 232
- ISBN
- 9781860949708
Data source: Wikidata