Representations and Characters of Finite Groups - Collins, Michael J.; Collins, M. J.
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
Former construction laborer, cab driver, and dock worker, Michael Collins is also the former chief resident in orthopedic surgery at the Mayo Clinic. He is the author of two acclaimed medical memoirs, Hot Lights, Cold Steel and Blue Collar, Blue Scrubs, and the Vietnam War-era novel All Bleeding Stops. Mike is a graduate of the University of Notre Dame and the Loyola University Stritch School of Medicine. He and his wife, Patti, were born, raised, and still live on the West Side of Chicago. Mike is a frequent visitor to the Outer Hebrides where his experiences became the inspiration for this novel.