Geodesic
On the representation theory of wreath products of finite group and symmetric group
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 229-244

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Let $G\wr{S_N}$ be the wreath product of a finite group $G$ and the symmetric group $S_N$. The aim of this paper is to prove the branching theorem for the increasing sequence of finite groups $G\wr{S_1}\subset G\wr{S_2}\subset\dots\subset G\wr{S_N}\subset\dots $ and the analog of Young's orthogonal form for this case, using the inductive approach, invented by A. Vershik and A. Okounkov for the case of symmetric group. 
@article{ZNSL_1997_240_a13,
     author = {I. A. Pushkarev},
     title = {On the representation theory of wreath products of finite group and symmetric group},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {229--244},
     publisher = {mathdoc},
     volume = {240},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a13/}
}
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I. A. Pushkarev. On the representation theory of wreath products of finite group and symmetric group. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Tome 240 (1997), pp. 229-244. http://geodesic.mathdoc.fr/item/ZNSL_1997_240_a13/