Geodesic
On the Reduction of Permutation Representations
Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 385-395

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In this paper an attempt is made to generalize the rather special role played by certain "Young subgroups" of Sn. In Theorem 1, the substitutional equation involving Young's raising operators for Sn is generalized to apply to an arbitrary subgroup H of a finite group G. Applying this to Sn, it is shown how the multiplicities mλ H can be calculated in terms of the raising operators in Theorem 2, which calculations are illustrated by a simple example. 
Puttaswamaiah, B. M. On the Reduction of Permutation Representations. Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 385-395. doi: 10.4153/CMB-1963-033-4
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     title = {On the {Reduction} of {Permutation} {Representations}},
     journal = {Canadian mathematical bulletin},
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     doi = {10.4153/CMB-1963-033-4},
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