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A Remark on Decompositions of the Permutation Representation of a Permutation Group

Published online by Cambridge University Press:  22 January 2016

Tosiro Tsuzuku
Tosiro Tsuzuku*
Affiliation:
Mathematical Institute, Nagoya University
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Let be a permutation group on n-letters 1, 2,… ,n . Let be the subgroup of fixing suitable one letter, say 1. For any element G of , a non-singular matrix G* = (gij) of degree n is defined by the equation

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 22 , June 1963 , pp. 79 - 82
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963

References

[1] Farahat, H. K., On the natural representation of the symmetric groups, Proc, Glasgow Math, Assoc. 5 (1962), 121–136.CrossRefGoogle Scholar
[2] Frobenius, G., Über die Charaktere der mehrfach transitiven Gruppe, Sitzungsber, Preuss. Akad. (1904), 558–571.Google Scholar