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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
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author Isaacs, I Martin
author_facet Isaacs, I Martin
author_sort Isaacs, I Martin
collection CERN
description 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
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institution Organización Europea para la Investigación Nuclear
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spelling cern-22641282021-04-21T19:13:41Zhttp://cds.cern.ch/record/2264128engIsaacs, I MartinCharacter theory of finite groupsMathematical Physics and MathematicsCharacter 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 theAmerican Mathematical Societyoai:cds.cern.ch:22641282006
spellingShingle Mathematical Physics and Mathematics
Isaacs, I Martin
Character theory of finite groups
title Character theory of finite groups
title_full Character theory of finite groups
title_fullStr Character theory of finite groups
title_full_unstemmed Character theory of finite groups
title_short Character theory of finite groups
title_sort character theory of finite groups
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264128
work_keys_str_mv AT isaacsimartin charactertheoryoffinitegroups