A01=Peter Schmid
Atlas Groups
Author_Peter Schmid
Blocks of Characters
Category=PBG
Characters
Cohomology of Finite Groups
Conjugacy Classes
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
k(B) Problem
Schur Multiplier
Weil Characters
Product details
- ISBN 9781860949708
- Publication Date: 27 Dec 2007
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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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.
