Abstract
In this note we study the connections between the wreath products Γ≀ G n of a finite group Γ by the symmetric groups G n and the product poset Y r of Young's lattices Y. We construct a generalized Robinson-Schensted correspondence for Γ≀ G n . And we give a complete set of orthogonal eigenvectors for the linear transformation Γ≀G n Γ≀G n−t of the vector space of class functions on Γ≀G n Γ≀G n−1 .
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