Representations of Finite Groups - Couverture souple

Collins, M. J.

 
9780521067645: Representations of Finite Groups

Synopsis

Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates requiring only a basic knowledge of group theory and general algebra. This theme is then expanded in a self-contained account providing an introduction to the application of character theory to the classification of simple groups. The book follows both strands of the theory: the exceptional characters of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown. This account will be of value as a textbook for students with some background in group theory, and as a reference for specialists and researchers in the field.

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Présentation de l'éditeur

Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates requiring only a basic knowledge of group theory and general algebra. This theme is then expanded in a self-contained account providing an introduction to the application of character theory to the classification of simple groups. The book follows both strands of the theory: the exceptional characters of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown. This account will be of value as a textbook for students with some background in group theory, and as a reference for specialists and researchers in the field.

Revue de presse

"The value of this book lies not in its encyclopedic approach to the subject...nor in its plethora of examples--the text is written concisely. The text's greatest attraction lies in its novel approach to the theory in light of the classification problem." Mark Steven Mazur, American Mathematical Monthly

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521234405: Representations and Characters of Finite Groups

Edition présentée

ISBN 10 :  0521234409 ISBN 13 :  9780521234405
Editeur : Cambridge University Press, 1990
Couverture rigide