Details
Solution Of The K(gv) Problem, The
Icp Advanced Texts In Mathematics
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231,00 € |
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| Verlag: | Imperial College Press |
| Format: | |
| Veröffentl.: | 21.12.2007 |
| ISBN/EAN: | 9781860949715 |
| Sprache: | englisch |
| Anzahl Seiten: | 248 |
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Beschreibungen
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.
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