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Character theory of finite groups

Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the u...

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Detalles Bibliográficos
Autor principal: Isaacs, I Martin
Lenguaje:eng
Publicado: American Mathematical Society 2006
Materias:
Acceso en línea:http://cds.cern.ch/record/2264128
Descripción
Sumario:Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras. After the module-theoretic foundations are laid in the first chapter, the focus is primarily on characters. This enhances the accessibility of the material for students, which was a major consideration in the