Representations and characters of finite groups

By:

Collins, Michael J

Series: Cambridge studies in advanced mathematics ; 22Publication details: Cambridge University Press, 1990. Cambridge:Description: xii, 242 p. : pb, 24 cmISBN:

9780521067645

Subject(s):

DDC classification:

512.2 COL

Summary: 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 that requires 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 characteristics 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.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.2 COL (Browse shelf(Opens below))	1	Available		030158

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Previous	512.2 ASC Finite group theory	512.2 BAR Numerical semigroups: IMNS 2018	512.2 CEC Representation theory of the symmetric groups: the Okounkov-Vershik approach, character formulas, and partition algebras	512.2 COL Representations and characters of finite groups	512.2 CUR Pioneers of representation theory : Frobenius, Burnside, Schur, and Brauer	512.2 CVI Group theory: birdtracks, lie's, and exceptional groups	512.2 DIX Permutation groups	Next

Includes bibliographical references (p. [234]-235) and index.

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 that requires 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 characteristics 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.

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