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Some Remarks on the Characters of theSymmetric Group

Published online by Cambridge University Press:  20 November 2018

Masaru Osima
Masaru Osima*
Affiliation:
Okayama University
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In [2], we derived some character relations of the symmetric group Sn. These relations were also obtained in [1] independently. In the present paper, we shall study the properties of these character relations in some detail. In the last section, using a result obtained in [3], we shall further determine the number of modular irreducible representations in a p-block of Sn.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 336 - 343
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Chung, J. H., Modular representations of the symmetric group, Can. J. Math., 3 (1951), 309–327.Google Scholar
2. Osima, M., On some character relations of symmetric groups, Okayama Math. J., 1 (1952), 63–68.Google Scholar
3. Robinson, G. de B., On the modular representations of the symmetric group, Proc. Nat. Acad. Sci., 37 (1951), 694–696.Google Scholar