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Modular Representations of the Symmetric Group

Published online by Cambridge University Press:  20 November 2018

J. H. Chung*
Affiliation:
University of Toronto
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The theory of modular representations of the symmetric group was studied first by Nakayama (5, 6), and later by Thrall and Nesbitt (11) and Robinson (7, 8, 9). Nakayama built up his elaborate theory of hooks for the express purpose of studying this problem, while Robinson's extensive work on the various phases of the relationship between Young diagrams, skew diagrams and star diagrams on the one hand, and representations of the symmetric group on the other, culminating in a set of relations among the degrees of the representations, serves as a starting point for this paper.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1951

References

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