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On a Theorem of Osima and Nagao

Published online by Cambridge University Press:  20 November 2018

J. S. Frame  and
G. de B. Robinson
J. S. Frame
Affiliation:
Michigan State College
G. de B. Robinson
Affiliation:
Michigan State College
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If we define the weight b of a Young diagram containing n nodes to be the number of removable p-hooks where n = a + bp, then three fundamental theorems stand out in the modular representation theory of the symmetric group Sn.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 125 - 127
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. Brauer, R., On a conjecture by Nakayama, Trans. Royal Soc. Canada, III, 41 (1947), 11–19.Google Scholar
2. Hardy, G. H. and Wright, E. M., The theory of numbers (Oxford, 1945).Google Scholar
3. Littlewood, D. E., Modular representations of symmetric groups, Proc. Royal Soc. London (A) 209 (1951), 333–353.Google Scholar
4. Nagao, H., Note on the modular representations of symmetric groups, Can. J. Math. 5 (1953), 356–363.Google Scholar
5. Nakayama, T. and Osima, M., Note on blocks of symmetric groups, Nagoya Math. J. 2 (1951), 111–117.Google Scholar
6. Osima, M., Some remarks on the characters of the symmetric group, Can. J. Math. 5 (1953), 336–343.Google Scholar
7. Robinson, G. de B., On a conjecture by Nakayama, Trans. Royal Soc. Canada, III, 41 (1947), 20–25.Google Scholar
8. Robinson, G. de B., On a conjecture by J. H. Chung, Can. J. Math., 4 (1952), 373–380.Google Scholar