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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Singapore :
World Scientific Publishing Company,
2007.
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Colección: | Imperial College Press advanced texts in mathematics.
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Temas: | |
Acceso en línea: | Texto completo |
Sumario: | 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. |
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Descripción Física: | 1 online resource (248 pages) |
Bibliografía: | Includes bibliographical references (pages 225-229) and index. |
ISBN: | 9781860949715 1860949711 |