Character Theory of Finite Groups
Bertram Huppert, "Character Theory of Finite Groups"
1998 | pages: 622 | ISBN: 3110154218 | PDF | 13,6 mb
1998 | pages: 622 | ISBN: 3110154218 | PDF | 13,6 mb
Representation theory and character theory are basic tools for the study of the structure of finite groups. Based on the classical results by Frobenius, Burnside, and Schur, character theory makes a central contribution to the complete classification of finite simple groups. This text serves as an introduction to this part of group theory. The book gives in its first section of self-contained introduction to the charcater theory of finite groups, which can be used for a first lecture on the subject. Later sections concentrate on Clifford theory, that is the relations between characters of a group and its normal subgroups.
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