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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...

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