Burnside’s Theorem and Representations of Finite Groups

Benson Farb,R Keith Dennis

doi:10.1007/978-1-4612-0889-1_7

Burnside’s Theorem and Representations of Finite Groups

Benson Farb, R Keith Dennis

https://doi.org/10.1007/978-1-4612-0889-1_7

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Publication Date: Jan 1, 1993

Affiliation: Princeton University, Cornell University

#Representation Theory Of Finite Groups #Linear Representations Of Finite Groups + Show 8 more

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Abstract

In this chapter we provide an application of the structure theory of rings developed in Chapters One and Two to the theory of finite groups. Representation theory of finite groups is a vast subject; in this chapter we’ll make a thin beeline right to a famous theorem of Burnside. For a more thorough introduction to the representation theory of finite groups, the reader may consult Serre, Linear Representations of Finite Groups, as well as Fulton and Harris, Representation Theory : A First Course.

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